TOPOLOGY AND ITS APPLICATIONS

Scope & Guideline

Connecting Ideas: The Practical Side of Topology

Introduction

Delve into the academic richness of TOPOLOGY AND ITS APPLICATIONS with our guidelines, detailing its aims and scope. Our resource identifies emerging and trending topics paving the way for new academic progress. We also provide insights into declining or waning topics, helping you stay informed about changing research landscapes. Evaluate highly cited topics and recent publications within these guidelines to align your work with influential scholarly trends.
LanguageEnglish
ISSN0166-8641
PublisherELSEVIER
Support Open AccessNo
CountryNetherlands
TypeJournal
Convergefrom 1980 to 2024
AbbreviationTOPOL APPL / Topology Appl.
Frequency18 issues/year
Time To First Decision-
Time To Acceptance-
Acceptance Rate-
Home Page-
AddressRADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS

Aims and Scopes

The journal 'Topology and its Applications' focuses on various aspects of topology, particularly in its applications across different mathematical disciplines. The journal publishes research that contributes to both theoretical and applied topology, exploring the interplay between topology and other areas such as algebra, geometry, and dynamical systems.
  1. Algebraic Topology:
    Research on various aspects of algebraic topology, including homotopy groups, cohomology theories, and invariants related to topological spaces.
  2. Geometric Topology:
    Exploration of topological properties of manifolds and surfaces, focusing on knot theory, link invariants, and the topology of low-dimensional manifolds.
  3. Functional Topology:
    Studies on the properties of function spaces, including continuity, compactness, and convergence in various topological settings.
  4. Dynamical Systems:
    Investigations into the behavior of dynamical systems from a topological perspective, including chaos theory, topological entropy, and the dynamics of mappings.
  5. Set-valued and Multi-valued Analysis:
    Research on topological properties related to set-valued mappings and their applications in various mathematical contexts.
  6. Categorical and Homotopical Methods:
    Application of category theory and homotopical techniques to topology, including the study of topological groups and their properties.
The journal has seen an evolution in its focus, with emerging themes reflecting contemporary trends in topology and its applications. These themes highlight innovative approaches and areas of increasing interest among researchers.
  1. Topological Data Analysis:
    An increasing interest in utilizing topological methods to analyze complex data sets, reflecting the growing intersection between data science and topology.
  2. 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.
  3. 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.
  4. Applications in Mathematical Physics:
    Emerging applications of topology in mathematical physics, particularly in string theory and quantum topology, are becoming more prominent.
  5. 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

While 'Topology and its Applications' continues to thrive in numerous areas, certain themes have shown a decline in frequency or relevance over recent years. These waning themes reflect shifts in research focus or decreased interest in specific subfields.
  1. 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.
  2. 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.
  3. Classical Homotopy Theory:
    While homotopy theory remains relevant, classical approaches and results have been overshadowed by more modern algebraic and categorical methods.

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