• Source: Timeline of category theory and related mathematics

This is a timeline of category theory and related mathematics. Its scope ("related mathematics") is taken as:

Categories of abstract algebraic structures including representation theory and universal algebra;
Homological algebra;
Homotopical algebra;
Topology using categories, including algebraic topology, categorical topology, quantum topology, low-dimensional topology;
Categorical logic and set theory in the categorical context such as algebraic set theory;
Foundations of mathematics building on categories, for instance topos theory;
Abstract geometry, including algebraic geometry, categorical noncommutative geometry, etc.
Quantization related to category theory, in particular categorical quantization;
Categorical physics relevant for mathematics.
In this article, and in category theory in general, ∞ = ω.




Timeline to 1945: before the definitions






1945–1970






1971–1980






1981–1990






1991–2000






2001–present






See also


EGA
FGA
SGA




Notes






References


nLab, just as a higher-dimensional Wikipedia, started in late 2008; see nLab
Zhaohua Luo; Categorical geometry homepage
John Baez, Aaron Lauda; A prehistory of n-categorical physics
Ross Street; An Australian conspectus of higher categories
Elaine Landry, Jean-Pierre Marquis; Categories in context: historical, foundational, and philosophical
Jim Stasheff; A survey of cohomological physics
John Bell; The development of categorical logic
Jean Dieudonné; The historical development of algebraic geometry
Charles Weibel; History of homological algebra
Peter Johnstone; The point of pointless topology
Stasheff, Jim (January 21, 1996). "The Pre-History Of Operads". In Loday, Jean-Louis; Stasheff, James D.; Voronov, Alexander A. (eds.). Operads: Proceedings of Renaissance Conferences. Contemporary Mathematics. Vol. 202. Providence, Rhode Island: American Mathematical Society. pp. 9–14. CiteSeerX 10.1.1.25.5089. doi:10.1090/conm/202/02592. ISBN 0-8218-0513-4. ISSN 0271-4132. LCCN 96-37049. MR 1436913. Retrieved 2021-12-08.
George Whitehead; Fifty years of homotopy theory
Haynes Miller; The origin of sheaf theory

Kata Kunci Pencarian:

• Timeline of category theory and related mathematics
• Category theory
• Universe (mathematics)
• Lists of mathematics topics
• List of timelines
• Equality (mathematics)
• Map (mathematics)
• Foundations of mathematics
• Pure mathematics
• Set theory