nLab
cyclic space

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

Contents

Idea

A cyclic space is a cyclic object in a category of spaces, usually in one of the standard presentations of homotopy types, hence in TopologicalSpaces or SimplicialSets.

References

See also:

In the context of geometric realization of loop stacks and inertia stacks:

Last revised on June 27, 2021 at 10:51:53. See the history of this page for a list of all contributions to it.