nLab
interior point

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

Contents

Definition

Given a subset AA of a topological space XX, a point xAx \in A is an interior point of AA it it is contained in the interior of AA, hence if AA is a neighborhood of xx in XX, i.e., if there is some open subset containing xx that is included in AA.

Last revised on May 9, 2017 at 13:10:28. See the history of this page for a list of all contributions to it.