搜索结果: 1-9 共查到“Category Theory”相关记录9条 . 查询时间(0.103 秒)
Axiomatic Method and Category Theory
axiomatic method category theory geometry logic intuition structuralism
2016/5/27
Lawvere’s axiomatization of topos theory and Voevodsky’s axiomatization of heigher homotopy theory exemplify a new way of axiomatic theory-building, which goes beyond the classical Hibert-style Axioma...
Category theory applied to a radically new but logically essential description of time and space
Category theory applied radically new logically essential description
2015/7/28
McTaggart's ideas on the unreality of time as expressed in "The Nature of Existence" have retained great interest for many years for scholars, academics and other philosophers. In this essay, there is...
Logarithmic tensor category theory, VI: Expansion condition, associativity of logarithmic intertwining operators, and the associativity isomorphisms
Logarithmic tensor category theory, VI: Expansion condition associativity of logarithmic intertwining operators associativity isomorphisms
2011/2/23
This is the sixth part in a series of papers in which we introduce and develop a natural, general tensor category theory for suitable module categories for a vertex (operator) algebra. In this paper (...
Logarithmic tensor category theory, IV: Constructions of tensor product bifunctors and the compatibility conditions
Logarithmic tensor category theory Constructions of tensor product bifunctors and the compatibility conditions
2011/2/23
This is the fourth part in a series of papers in which we introduce and develop a natural, general tensor category theory for suitable module categories for a vertex (operator) algebra. In this paper ...
Logarithmic tensor category theory, III: Intertwining maps and tensor product bifunctors
Logarithmic tensor category theory Intertwining maps and tensor product bifunctors
2011/2/23
This is the third part in a series of papers in which we introduce and develop a natural, general tensor category theory for suitable module categories for a vertex (operator) algebra. In this paper (...
Logarithmic tensor category theory, II: Logarithmic formal calculus and properties of logarithmic intertwining operators
Logarithmic tensor category theory Logarithmic formal calculus properties of logarithmic intertwining operators
2011/2/23
This is the second part in a series of papers in which we introduce and develop a natural, general tensor category theory for suitable module categories for a vertex (operator) algebra. In this paper ...
Logarithmic tensor category theory for generalized modules for a conformal vertex algebra, I: Introduction and strongly graded algebras and their generalized modules
Logarithmic tensor category theory for generalized modules conformal vertex algebra Introduction strongly graded algebras generalized modules
2011/2/23
This is the first part in a series of papers in which we introduce and develop a natural, general tensor category theory for suitable module categories for a vertex (operator) algebra.
Toward a Hermeneutic Categorical Mathematicsorwhy Category theory does not support mathematical structuralism
Category theory Hermeneutics Mathematics
2008/4/21
In this paper I argue that Category theory provides an alternative to Hilbert’s Formal Axiomatic method and doesn't support Mathematical Structuralism.
Complex Systems from the Perspective of Category Theory: I. Functioning of the Adjunction Concept
Complex Systems Information Structures Localization Systems
2008/4/10
We develop a category theoretical framework for the comprehension of the information structure associated with a complex system, in terms of families of partial or local information carriers. The fram...