nLab
Analysis Situs

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

Algebraic topology

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

This page is about the article

which laid modern foundations of topology (such as introducing the notion and terminology of homeomorphisms) and introduced basic concepts of algebraic topology (such as singular homology) and of homotopy theory (such as the fundamental group).

See also:

category: reference

Created on September 26, 2021 at 05:30:53. See the history of this page for a list of all contributions to it.