Manifolds, Structures Categorically
Category Theory
2007-05-23 v1 General Mathematics
Abstract
A notion of general manifolds is introduced. It covers all usual manifolds in mathematics. Essentially, it is a way how to get a bigger 'fibration' over a site which locally coincides with a given one. An enrichment with generalized elements is regarded which allows to see hom-sets of a given category as (almost) objects and to transfer some technics from objects onto hom-sets. Lifting problem for a group action and actions of group objects are also included.
Cite
@article{arxiv.math/0608503,
title = {Manifolds, Structures Categorically},
author = {G. V. Kondratiev},
journal= {arXiv preprint arXiv:math/0608503},
year = {2007}
}
Comments
37 pages