Big fundamental groups: generalizing homotopy and big homotopy
arXiv:1410.3088
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.
to be published in Topology and its Applications