Applied General Topology

Scope & Guideline

Empowering Researchers to Shape Mathematical Futures

Introduction

Welcome to your portal for understanding Applied General Topology, featuring guidelines for its aims and scope. Our guidelines cover trending and emerging topics, identifying the forefront of research. Additionally, we track declining topics, offering insights into areas experiencing reduced scholarly attention. Key highlights include highly cited topics and recently published papers, curated within these guidelines to assist you in navigating influential academic dialogues.
LanguageEnglish
ISSN1989-4147
PublisherUNIV POLITECNICA VALENCIA, EDITORIAL UPV
Support Open AccessYes
CountrySpain
TypeJournal
Convergefrom 2007 to 2024
AbbreviationAPPL GEN TOPOL / Appl. Gen. Topol.
Frequency2 issues/year
Time To First Decision-
Time To Acceptance-
Acceptance Rate-
Home Page-
AddressCAMINO VERA S-N, VALENCIA 46022, SPAIN

Aims and Scopes

The journal 'Applied General Topology' focuses on the exploration and application of topological concepts across various mathematical domains, emphasizing both theoretical advancements and practical implications.
  1. Ideal Topological Spaces:
    Research in this area delves into the properties and dimensions of ideal topological spaces, exploring their unique characteristics and applications in broader mathematical contexts.
  2. Fixed Point Theorems:
    A significant portion of the journal's articles discusses various fixed point theorems, including those for nonexpansive mappings, cyclic contractions, and fuzzy metric spaces, showcasing their relevance in functional analysis and geometry.
  3. Topological Groups and Structures:
    The journal publishes work on the intersections of topology and algebra, particularly focusing on topological groups, their automorphisms, and implications for other mathematical structures.
  4. Digital Topology:
    This area explores topological concepts in digital settings, including digital homotopy and homology theories, which are increasingly important in computer science and discrete mathematics.
  5. Metric and Fuzzy Spaces:
    Research on metric spaces, including noncommutative and fuzzy metrics, illustrates the journal's commitment to exploring various generalizations and applications of traditional metric theories.
  6. Contraction Mappings and Applications:
    Many papers investigate different types of contraction mappings and their applications, particularly in the context of Banach and fuzzy metric spaces, emphasizing their utility in solving differential equations.
The journal is witnessing a notable increase in specific themes that reflect the evolving landscape of mathematical research, particularly in applied topology.
  1. Fuzzy and Probabilistic Topologies:
    There is a growing interest in fuzzy metric spaces and probabilistic approaches to topology, indicating an emerging trend that aligns with contemporary applications in data science and uncertainty modeling.
  2. Advanced Fixed Point Theorems:
    Recent publications are increasingly focused on advanced fixed point theorems, particularly those that explore new classes of mappings and their applications in various mathematical contexts, highlighting a trend toward innovation in this area.
  3. Topological Dynamics:
    The exploration of dynamical systems within topological contexts is gaining traction, reflecting an interdisciplinary approach that connects topology with dynamical systems theory.
  4. Digital and Discrete Topology:
    There is an emerging trend in digital topology and related discrete structures, which is increasingly relevant in computational fields and theoretical computer science.
  5. Connections between Algebra and Topology:
    Research that bridges algebraic structures with topological concepts is on the rise, suggesting a trend towards integrated approaches that enrich both fields.

Declining or Waning

While many themes in 'Applied General Topology' continue to thrive, some areas are showing signs of decline in publication frequency, suggesting a shift in research focus within the community.
  1. Classical Topological Properties:
    Topics related to classical topological properties, such as compactness and connectedness, appear less frequently, potentially indicating a waning interest in foundational aspects in favor of more applied or complex structures.
  2. Traditional Metric Spaces:
    Research specifically focused on traditional metric spaces is decreasing, possibly due to the rise of more generalized spaces like fuzzy or probabilistic metric spaces, which offer broader applications.
  3. Elementary Fixed Point Theorems:
    Basic fixed point theorems, particularly those with straightforward applications, are becoming less common, as researchers gravitate towards more sophisticated and generalized frameworks.

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