Mathematical Structures and Their Applications
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Algebra, Geometry and Topology".
Deadline for manuscript submissions: 10 April 2025 | Viewed by 7322
Special Issue Editor
Special Issue Information
Dear Colleagues,
Classically, a mathematical structure is a set endowed with some additional features such as an operation, a relation, a metric, or a topology. The additional features are often attached to the set to provide it with some additional meaning or significance.
In this issue, we will be looking for the categorical version of a mathematical structure. By that, we mean a diagram in a category, consisting of objects, morphisms, 2-cells, etc., which are required to satisfy some limiting or colimiting conditions as well as identities or pseudo-identities. Examples include directed graphs, spans, cospans, reflexive graphs, internal categories, groupoids, crossed-modules, bicategories, triangulations, chain-complexes, graded algebras, n-dimensional categories, homotopy types, etc.
Each such structure can be interpreted in any category (perhaps with some additional features) and may give rise to different applications both in mathematics and other areas of study. Such areas may include physics, biology, chemistry, computer science, and several others on the verge of technology and engineering.
Papers that introduce new structures and study their properties, as well as papers that consider new applications or interpretations of known ones are welcome to this topic.
Prof. Dr. Nelson Martins Ferreira
Guest Editor
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Keywords
- category
- structure
- diagram
- mathematical structure
- directed graph
- span
- cospan
- reflexive graph
- internal categories
- groupoid
- crossed module
- bicategory
- triangulation
- chain complex
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