TOPOLOGY AND ITS APPLICATIONS
Scope & Guideline
Bridging Theory and Application in Topology
Introduction
Aims and Scopes
- Algebraic Topology:
Research on various aspects of algebraic topology, including homotopy groups, cohomology theories, and invariants related to topological spaces. - Geometric Topology:
Exploration of topological properties of manifolds and surfaces, focusing on knot theory, link invariants, and the topology of low-dimensional manifolds. - Functional Topology:
Studies on the properties of function spaces, including continuity, compactness, and convergence in various topological settings. - Dynamical Systems:
Investigations into the behavior of dynamical systems from a topological perspective, including chaos theory, topological entropy, and the dynamics of mappings. - Set-valued and Multi-valued Analysis:
Research on topological properties related to set-valued mappings and their applications in various mathematical contexts. - Categorical and Homotopical Methods:
Application of category theory and homotopical techniques to topology, including the study of topological groups and their properties.
Trending and Emerging
- Topological Data Analysis:
An increasing interest in utilizing topological methods to analyze complex data sets, reflecting the growing intersection between data science and topology. - Non-Hausdorff Topological Spaces:
Research into non-Hausdorff spaces and their properties is gaining traction, as these spaces offer unique insights and applications in various mathematical contexts. - Topological Dynamics and Chaos Theory:
A notable increase in studies related to chaos, dynamical systems, and their topological properties, illustrating a deeper exploration of dynamical behavior. - Applications in Mathematical Physics:
Emerging applications of topology in mathematical physics, particularly in string theory and quantum topology, are becoming more prominent. - Categorical Topology:
A growing trend towards categorical approaches in topology, emphasizing the role of category theory in understanding topological structures and their relationships.
Declining or Waning
- Metric Spaces and Classical Analysis:
Research related to traditional metric space theory and its classical applications has seen a decline, possibly due to a shift toward more abstract topological frameworks. - Compactness in General Topological Spaces:
Studies focusing on compactness properties in general topological spaces have become less prevalent, as newer frameworks and results have emerged. - Classical Homotopy Theory:
While homotopy theory remains relevant, classical approaches and results have been overshadowed by more modern algebraic and categorical methods.
Similar Journals
Annals of K-Theory
Advancing the Frontiers of Mathematical KnowledgeAnnals of K-Theory, published by Mathematical Science Publishers, is an esteemed academic journal that serves as a vital platform for advancing research in the fields of analysis, geometry, and topology. Since its inception in 2016, the journal has successfully merged rigorous mathematical exploration with practical application, catering to a diverse audience of researchers, professionals, and students. With an impressive track record as a Q2 journal in Analysis and Geometry and Topology, and achieving a Q1 ranking in Assessment and Diagnosis in 2023, Annals of K-Theory continues to be recognized for its significant contributions to the mathematical sciences community. Although currently not open access, the journal provides relevant and accessible content that encourages rigorous dialogue and collaboration among mathematicians. As indicated by its Scopus rankings, it holds a commendable position within its field, demonstrating a commitment to quality research that pushes the boundaries of mathematical knowledge and application.
International Journal of Analysis and Applications
Transforming theoretical concepts into practical solutions.International Journal of Analysis and Applications, published by ETAMATHS PUBL, is a premier open-access journal dedicated to fostering advancements in the fields of analysis, applied mathematics, geometry, topology, and their applications in business and international management. With a commitment to providing high-quality research, the journal has been an open-access platform since 2013, ensuring that researchers, professionals, and students have unhindered access to valuable findings and methodologies. Based in Vancouver, Canada, the journal’s scope spans a diverse range of mathematical disciplines, bridging theoretical concepts with practical applications. The journal has been categorized in various quartiles as of 2023, reaching Q4 in Analysis and Applied Mathematics, and Q3 in Business and International Management, highlighting its growing importance in the academic community. At present, it is ranked 55th in Geometry and Topology and holds a respectable position within the Scopus database. By fostering innovative research and providing a collaborative platform, the International Journal of Analysis and Applications aims to contribute significantly to the development and application of mathematical theory in contemporary settings.
HOUSTON JOURNAL OF MATHEMATICS
Cultivating Academic Dialogue in Mathematical ResearchHOUSTON JOURNAL OF MATHEMATICS, published by the University of Houston, serves as a valuable platform for disseminating significant findings in the field of mathematics, specifically within the realm of miscellaneous mathematics. Despite its current categorization in Q4 for 2023, the journal plays a crucial role in fostering academic discussion and exploration among researchers, professionals, and students alike. With its ISSN 0362-1588, the journal has been publishing original research since 1996, with a recent gap filled from 2022 to 2023, thereby continuing to contribute to the mathematical community. While it does not currently offer open access options, the journal's commitment to quality research maintains its relevance within the field and invites submissions that can elevate its standing. Located in the vibrant city of Houston, Texas, the journal not only emphasizes theoretical advancements but also encourages applied mathematical research that intersects with other disciplines, enhancing its significance and reach.
GEOMETRY & TOPOLOGY
Where Geometry Meets Topology: Discover New DimensionsGeometry & Topology is a leading journal in the field of mathematics, focusing on the intricate relationships between geometric structures and topological spaces. Published by Geometry & Topology Publications in the United Kingdom, this prestigious journal boasts an impressive ranking, placing it in the Q1 quartile for Geometry and Topology as of 2023, with a notable Scopus rank of #13 out of 106, indicating its significant impact within the discipline (88th percentile). With publication years spanning from 1997 to 2024, the journal serves as a vital platform for disseminating high-quality research, fostering advances in both theoretical and applied aspects of the field. While it does not currently operate under an Open Access model, it nevertheless attracts the attention of a diverse audience, including researchers, academics, and students eager to explore innovative methodologies and findings in geometry and topology. The journal’s commitment to excellence makes it an essential resource for anyone passionate about mathematical research.
Quantum Topology
Advancing Knowledge at the Crossroads of Geometry and PhysicsQuantum Topology is a leading journal in the interdisciplinary realms of geometry, topology, and mathematical physics, published by the European Mathematical Society. With an impressive H-Index that reflects its growing citation and recognition, this open-access journal has been committed to disseminating high-quality research since its inception in 2013, with full open access treatment commencing in 2021. Based in Germany, it serves as a platform for innovative studies that explore the intricate connections between quantum theory and topological structures. Achieving a notable Q1 category ranking in both Geometry and Topology and Mathematical Physics as indicated in the 2023 metrics, it ranks 31st out of 106 in the first category and 48th out of 85 in the latter, underscoring its importance in advancing scholarly dialogue in these fields. Researchers, professionals, and students alike are encouraged to contribute to and engage with the journal’s rich content, which not only includes original research articles but also review papers and significant theoretical advancements.
ANNALES DE L INSTITUT FOURIER
Championing Rigorous Research and CollaborationANNALES DE L INSTITUT FOURIER is a premier academic journal published by ANNALES INST FOURIER, specializing in the fields of Algebra and Number Theory as well as Geometry and Topology. Since its establishment, the journal has garnered a distinguished reputation, evidenced by its Q1 quartile ranking in the 2023 category assessments and its Scopus Rank of #37 out of 119 in Algebra and Number Theory, and #34 out of 106 in Geometry and Topology, placing it within the top percentile of its field. The journal serves as a vital platform for disseminating groundbreaking research and innovative methodologies, catering to a global audience of researchers, professionals, and students. With a commitment to the advancement of mathematical sciences, ANNALES DE L INSTITUT FOURIER invites contributions that push the boundaries of knowledge and foster collaboration across disciplines. Although it does not offer open access, the rigorous peer-review process ensures that published papers meet the highest academic standards, making it a critical resource for anyone engaged in advanced mathematical research.
Journal of Homotopy and Related Structures
Bridging Disciplines Through Innovative ResearchJournal of Homotopy and Related Structures is a distinguished academic journal published by Springer Heidelberg, specializing in the fields of algebra, number theory, geometry, and topology. With a focus on the intricate relationships and structures within these disciplines, the journal aims to facilitate the dissemination of original research and provide a platform for scholarly exchange among mathematicians. Since its inception in 2012, the journal has positioned itself in the Q2 category for both Algebra and Number Theory and Geometry and Topology in 2023, reflecting its growing influence and commitment to high-quality publications. Although it operates under a subscription model, the research published in this journal is highly cited, contributing to its notable rankings—#57 in Geometry and Topology and #65 in Algebra and Number Theory on the Scopus index. This journal is an essential resource for researchers, professionals, and students who wish to stay updated with the latest advancements and trends in homotopy theory and related mathematical structures.
Applied General Topology
Bridging Theory and Practice in GeometryApplied General Topology, an esteemed journal published by Universitat Politècnica de València - Editorial UPV, serves as a vital platform for researchers and practitioners in the field of topology and its applications. With an ISSN of 1989-4147 and an E-ISSN of 1989-4147, this open-access journal has been making its content freely available since 2003, thereby promoting widespread dissemination of knowledge and fostering collaboration within the mathematical community. Based in Valencia, Spain, this journal has achieved a commendable Q3 category ranking in Geometry and Topology for 2023, as well as a rank of 56/106 in the Scopus Mathematics category, placing it in the 47th percentile. Researchers and students alike benefit from its rich content and focus on both theoretical and applied aspects of general topology, making it an essential resource for advancing the understanding of geometric concepts. With coverage spanning from 2007 to 2024, Applied General Topology continues to build on its legacy, contributing significantly to the evolution of mathematical thought and practice.
Real Analysis Exchange
Fostering Dialogue in the Heart of Mathematical Research.Real Analysis Exchange is a distinguished academic journal published by MICHIGAN STATE UNIV PRESS, focusing on the intricate fields of analysis, geometry, and topology. Since its inception in 1995, the journal has become a pivotal platform for researchers and scholars to exchange ideas, disseminate results, and critically engage with emerging trends in real analysis and its applications. It features high-quality peer-reviewed articles that contribute significantly to the mathematical community, although it currently holds a Q4 ranking in its categories, reflecting its ongoing development and growth potential. With an ISSN of 0147-1937 and an E-ISSN of 1930-1219, this journal is accessible to a global audience, promoting open dialogue among professionals and students alike. Connect with Real Analysis Exchange to stay abreast of the latest research and advancements in real analysis and its connected disciplines.
Journal of Topology and Analysis
Pioneering Research in Mathematical LandscapesJournal of Topology and Analysis, published by WORLD SCIENTIFIC PUBL CO PTE LTD, is a distinguished peer-reviewed journal that focuses on advanced topics in mathematics, specifically within the fields of topology and analysis. Established in 2009 and running through 2024, the journal is based in Singapore and strives to present cutting-edge research that contributes to the mathematical community's understanding of geometric structures and analytical theories. Holding a respected position with a Q2 ranking in Analysis and a Q3 ranking in Geometry and Topology according to the 2023 category quartiles, the journal is indexed in Scopus, where it ranks #49 in Geometry and Topology and #118 in Analysis, showcasing its significance in the scholarly landscape. The Journal of Topology and Analysis aims to foster interdisciplinary collaboration by providing a platform for researchers, professionals, and students to share innovative findings and insights. Although it does not currently offer open access, its contributions are vital for advancing knowledge in these mathematical domains.