# homotopy category

## Primary tabs

Defines:
fundamental groupoid, fundamental group functor, homotopy category, fundamental groupoid of a topological space
Keywords:
homotopy equivalence classes of a topological space, homotopy category
Synonym:
category of homotopy equivalence classes
Type of Math Object:
Topic
Major Section:
Reference

## Mathematics Subject Classification

55P99 None of the above, but in MSC2010 section 55Pxx
55R10 Fiber bundles
55R05 Fiber spaces
55R65 Generalizations of fiber spaces and bundles
55R37 Maps between classifying spaces