Cohomology of categories
-
General Introduction
This is the same as Baues-Wirsching cohomology
<]]> -
Search results
<]]> -
Online References
<]]> -
Paper References
Baues: Homotopy types (e), section 5.
See Generalov in Handbook of Algebra vol 1, in Various folder under ALGEBRA
<]]> -
Definition
<]]> -
Properties
<]]> -
Standard theorems
<]]> -
Open Problems
<]]> -
Connections to Number Theory
<]]> -
Computations and Examples
<]]> -
History and Applications
<]]> -
Some Research Articles
<]]> -
Other Information
arXiv:1002.1650 The bordism version of the h-principle from arXiv Front: math.CT by Rustam Sadykov In view of the Segal construction each category with operation gives rise to a cohomology theory. We show that similarly each open stable differential relation R determines cohomology theories k^* of solutions and h^* of stable formal solutions of R. We prove that k^* and h^* are equivalent under a mild condition.
For example, in the case of the covering differential relation our theorem is equivalent to the Barratt-Priddy-Quillen theorem asserting that the direct limit of classifying spaces B\Sigman of permutation groups \Sigman of finite sets of n elements is homology equivalent to each path component of the infinite loop space \Omega^{\infty}S^{\infty}.<]]> -
Comments Posted
<]]> -
Comments
There are no comments.