nLab
semi-simplicial topological space

Contents

Context

Topology

topology (point-set topology, point-free topology)

see also differential topology, algebraic topology, functional analysis and topological homotopy theory

Introduction

Basic concepts

Universal constructions

Extra stuff, structure, properties

Examples

Basic statements

Theorems

Analysis Theorems

topological homotopy theory

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 semi-simplicial topological space (often just “semi-simplicial space”) is a semi-simplicial object internal to TopologicalSpaces.

This is like a simplicial topological space, but without degeneracy maps.

References

Created on June 25, 2021 at 10:06:37. See the history of this page for a list of all contributions to it.