Category Theory

From Wikiversity
Jump to navigation Jump to search

Welcome to the Category Theory International Project ![edit | edit source]

Subject classification: this is a mathematics resource.
Educational level: this is a tertiary (university) resource.
  • "In mathematics, category theory deals in an abstract way with mathematical structures and relationships between them. Categories now appear in most branches of mathematics and in some areas of theoretical computer science and mathematical physics, and have been a unifying notion. Categories were first introduced by Samuel Eilenberg and Saunders Mac Lane in 1942-1945, in connection with algebraic topology."

  • This is an International Project on Category Theory, Higher Dimensional Algebra and their Novel Applications, such as:

  • Topoi,
  • n-Categories
  • Nonabelian Algebraic Topology,

Applications and Applied Mathematics[edit | edit source]

  • Categorical Dynamics,
  • Computational Theory and Logic,
  • Quantum Physics and Quantum Algebraic Topology,
  • Complex Systems and Relational Biology,
    • Mathematical Medicine
    • Ecosystems
    • Biosphere
  • Sociology
  • Categorical Ontology
  • Philosophy of Science
  • (Specify your own novel application field, such as Anabelian Geometry, Noncommutative Geometry, Nondistributive Logics, Monassociative Mathematics, NonNewtonian analysis, etc)

w:Category theory topics w:Homological algebra: w:Abelian categoryw:Sheaf theoryw:K-theory

w:Topos theoryw:Enriched category theoryw:Higher category theory

  w:Monoidal categoryw:Closed categoryw:Dagger category

More category theory topics

Categorical diagram of a pushout

External links[edit | edit source]

Things to do[edit | edit source]

List of Participants[edit | edit source]

  1. 1
  2. 2 User:Bci21
  3. 3

. . .

  1. N

Resources[edit | edit source]

Category Theory on Wikinews     Category Theory on Wikiquote     Category Theory on Wikibooks     Category Theory on Wikisource     Category Theory on Wiktionary     Category Theory on Wikimedia Commons
News Quotations Manuals & Texts Texts Definitions Images & Media