Big fundamental groups: Generalizing homotopy and big homotopy

摘要

The concept of big homotopy theory was introduced by J. Cannon and G. Conner in [1] 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. (C) 2016 Elsevier B.V. All rights reserved.