In algebraic topology, an area of mathematics, a homeotopy group of a topological space is a homotopy group of the group of self-homeomorphisms of that...

Lickorish-Wallace theorem J. S. Birman, D. R. J. Chillingworth, On the homeotopy group of a non-orientable surface, Trans. Amer. Math. Soc. 247 (1979)...

Fiber-homotopy equivalence (relative version of a homotopy equivalence) Homeotopy Homotopy type theory Mapping class group Poincaré conjecture Regular homotopy...

Braid groups, the mapping class groups of punctured discs Homotopy groups Homeotopy groups Lantern relation Morita, Shigeyuki (1987). "Characteristic classes...