nLab
closed point

Content

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

Content

Definition

In a topological space (X,τ)(X,\tau) a point (element) xXx \in X is called a closed point if the singleton set {x}X\{x\} \subset X is a closed subset of XX.

Examples

Last revised on April 4, 2021 at 02:47:20. See the history of this page for a list of all contributions to it.