nLab equivariant weak homotopy equivalence

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Contents

Context

Homotopy theory

homotopy theory, (∞,1)-category theory, homotopy type theory

flavors: stable, equivariant, rational, p-adic, proper, geometric, cohesive, directed

models: topological, simplicial, localic, …

see also algebraic topology

Introductions

Definitions

Paths and cylinders

Homotopy groups

Basic facts

Theorems

Representation theory

Contents

Idea

In generalization of the notion of weak homotopy equivalences from plain homotopy theory to equivariant homotopy theory, a map of G-spaces is called an equivariant weak homotopy equivalence if it induces isomorphisms on all equivariant homotopy groups.

References

See the references at equivariant homotopy group.

Detection in terms of free homotopy sets:

Created on October 31, 2021 at 05:41:06. See the history of this page for a list of all contributions to it.