Big fundamental groups: generalizing homotopy and big homotopy
Algebraic Topology
2016-02-16 v3
Abstract
The concept of big homotopy theory was introduced by J. Cannon and G. Conner using big intervals of arbitrarily large cardinality to detect big loops. We find, for each space, a canonical cardinal that is sufficient to detect all big loops and all big homotopies in the space.
Cite
@article{arxiv.1410.3088,
title = {Big fundamental groups: generalizing homotopy and big homotopy},
author = {Keith Penrod},
journal= {arXiv preprint arXiv:1410.3088},
year = {2016}
}
Comments
to be published in Topology and its Applications