Why fundamental groups are defined only for loops- better explained than in Munkres’ Topology.

I want to point out why fundamental groups are defined for loops, and not path homotopy classes. This is something that Munkres’ Topology does not do a good job of explaining. Munkres says that we cannot define groups on path homotopy classes because for some pair and , may not be defined. This is becauseContinue reading “Why fundamental groups are defined only for loops- better explained than in Munkres’ Topology.”