- Mathematics needed for higher dimensional category theory? [closed]🔍
- Mathematics needed for higher dimensional category theory?🔍
- r/math on Reddit🔍
- What are the prerequisites to learn category theory?🔍
- Higher|Dimensional Categories:🔍
- A Perspective on Higher Category Theory🔍
- Category Theory and Higher Dimensional Algebra🔍
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Mathematics needed for higher dimensional category theory? [closed]
Mathematics needed for higher dimensional category theory? [closed]
First of all, in graduate school you likely will need to pass some qualifying exams that involve algebra, analysis and geometry. Second of all, ...
Mathematics needed for higher dimensional category theory?
A firm grounding in classical category theory would be immensely helpful, and studying algebraic topology is indeed one of the best ways of accomplishing this.
r/math on Reddit: "Topology and Higher-Dimensional Category Theory
Higher-dimensional category theory is the study of n-categories, operads, braided monoidal categories, and other such exotic structures.
What are the prerequisites to learn category theory? - Quora
There's no particular knowledge necessary to understand category theory, but you need an understanding of abstract mathematics and enough ...
different theories, a sort of mental gymnastics that we feel is an essential warm- ... A monad is an algebraic theory and an algebra for a monad is a model of ...
A Perspective on Higher Category Theory | The n-Category Café
Mathematics has a constant tendency to fragment; mathematicians have a constant tendency to march off, with great speed and enthusiasm, in ...
Category Theory and Higher Dimensional Algebra - arXiv
†Mathematics Division, School of Informatics, University of Wales, Bangor, Gwynedd LL57 1UT, U.K.. email: {r.brown,t.porter}@bangor.ac.uk http ...
applications of (higher) category theory - nForum
It is probably not intentional, but it is there. Since it is there, I think more effort can be made to show that “category theory is your friend”. It sometimes ...
PROJECT DESCRIPTION: HIGHER CATEGORICAL STRUCTURES ...
In fact, only one of the six co-Directors of this project has his mathematical roots in category theory. The others have roots in algebraic ...
Timeline of category theory and related mathematics - Wikipedia
Topology using categories, including algebraic topology, categorical topology, quantum topology, low-dimensional topology;; Categorical logic and set theory in ...
Higher-dimensional category - Encyclopedia of Mathematics
1261. The need for monoidal bicategories arose in various contexts, especially in the theory of categories enriched in a bicategory [a53], where ...
Category Theory - Stanford Encyclopedia of Philosophy
As such, it raises many issues about mathematical ontology and epistemology. Category theory thus affords philosophers and logicians much to use ...
What is Category Theory in mathematics? Johns Hopkins' Dr. Emily ...
... higher category theory, are central to many fields of math, from ... closing remarks. To learn more, visit jhu.edu/hopkinsathome.
higher category theory and physics in nLab
2-dimensional conformal field theory by ... category theory and higher category theory in close relation with mathematical physics.
Category theory is a general theory of mathematical structures and their relations. It was introduced by Samuel Eilenberg and Saunders Mac Lane in the ...
Category Theory - Stanford Encyclopedia of Philosophy
Category theory is an alternative to set theory as a foundation for mathematics. As such, it raises many issues about mathematical ontology and ...
Infinity Category Theory Offers a Bird's-Eye View of Mathematics
Mathematicians have expanded category theory into infinite dimensions, revealing new connections among mathematical concepts.
Like all branches of mathematics, category theory has its own ... The diagrams above contain not only objects (0-dimensional) and arrows.
Topics in low dimensional higher category theory
The second part of this thesis studies generalisations of the Kleisli construction to the two-dimensional setting, and the broader theory of ...
On weak higher dimensional categories I: Part 1 - ScienceDirect
n-graphs are defined by having data as in (1), the domain/codomain assignments satisfying globularity (2). An n-category (in the usual sense) ...