Document Type

Article

Publication Date

2-2016

Department

Department of Mathematics

Abstract

The concept of big homotopy theory was introduced by J. Cannon and G. Conner in [1]. In this paper, we seek to refine this theory by making a similar functor for specific cardinals instead of the class of all of them at the same time. It will be shown that for every topological space, there is a cardinal such that this new fundamental group agrees with the big fundamental group on that space. Between any two such functors, there is a natural transformation, including the big fundamental group and the fundamental group as classically defined in homotopy theory.

Comments

https://arxiv.org/abs/1410.3088

Source

arXiv:1410.3088v1 [math.AT] org (February 2016)

Included in

Mathematics Commons

Share

COinS