- Category Theory🔍
- Higher Category Theory and Hilbert's Sixth Problem🔍
- maclane|categories.pdf🔍
- Category Theory in Context Emily Riehl🔍
- An introduction to n|categories🔍
- Model Categories and Weak Factorisation Systems🔍
- Higher|Dimensional Rewriting in Warsaw 🔍
- Is abstract algebra a prerequisite for category theory? If not ...🔍
Mathematics needed for higher dimensional category theory? [closed]
Category Theory - is it just "abstract nonsense" - Physics Forums
No, one does not need to have a deep understanding of Category Theory to understand other mathematical concepts. However, having a basic ...
Higher Category Theory and Hilbert's Sixth Problem - HAL
... needed mathematical rigor [76, 75, 193, 43, 192, 194, 77]. Thus ... Higher-dimensional algebra and topological quantum field theory.
maclane-categories.pdf - MIT Mathematics
Theory. 43 GILLMAN/JERISON. Rings of Continuous. 11 CONWAY. Functions of One ... higher-dimensional categories that have recently come into promi- nence ...
Category Theory in Context Emily Riehl
It is difficult to preview the main theorems in category theory before developing fluency in the language needed to state them. (A reader ...
An introduction to n-categories - SpringerLink
J. Baez and J. Dolan, Higher-dimensional algebra and topological quantum field theory, Jour. Math. Phys. 36 (1995), 6073–6105 ...
Model Categories and Weak Factorisation Systems - Emily Riehl
to “do homotopy theory.” The study of higher dimensional categories, which are a weak notion in their most useful form, can benefit ...
Eric Finster will be talking about another computer system for dealing with n-categories, based on the 'opetopic' formalism that James Dolan and ...
Is abstract algebra a prerequisite for category theory? If not ... - Quora
Nope. Basic category theory doesn't have any strict prerequisites. You could get started with category theory without knowing any math.
Why I am learning category theory | Hacker News
As someone with a maths degree, yet who admittedly hasn't looked into category theory beyond some basic notions, I still don't quite ...
Infinity category theory from scratch - Higher Structures
and A × B are also the 2-categorical terminal object and binary products in hK. In this case where K is cartesian closed, applying the homotopy category functor ...
(PDF) Category Theory and Higher Dimensional Algebra: potential ...
We explain the notion of colimit in category theory as a potential tool for describing structures and their communication, and the notion of higher ...
... categories," which are generalizations of braided tensor categories suited for higher- dimensional physics. (See for example the papers by ...
Higher-dimensional and ∞-topoi | Topos Theory Class Notes
It integrates concepts from category theory and homotopy theory, providing a framework to study higher categories, sheaves, and logical aspects ...
A Whirlwind Tour of the World of (∞,1)-categories
be asking now how exactly higher category theory is useful in mathematics. ... , Higher-dimensional algebra. III. n-categories and the algebra of opetopes ...
A 2-categories companion - Department of Mathematics
In Cat-category theory one deals with higher-dimensional versions of the usual notions of functor, limit, monad, and so on, without any “weakening”. The passage ...
The Changing Role of Mathematics in Machine Learning Research
“Pure” mathematical domains such as topology, algebra, and geometry, are now joining the more traditionally applied fields of probability theory ...
Elements of -Category Theory joint with Dominic Verity
It frames a possible template for any mathematical theory: the theory ... language with restricted equality, suitable for (finite dimensional) higher category ...
Category Theory Seminar - CUNY
Expanding the domain of definition to extended pseudo metric spaces enables the construction of a realization functor on diagrams of spaces, which has a right ...
Coherence three dimensional category theory
Dimension three is an important test-bed for hypotheses in higher category theory and occupies something of a unique position in the categorical landscape.
Could ∞-Category Theory Be Taught to Undergraduates? - NSF PAR
Theorem 1.5 equally applies,and these observations ex- tend iteratively to higher-dimensional homotopies. The points,paths,and higher paths in a space 𝑋 ...