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Topology glossary

This is a glossary of some terms used in the branch of mathematics known as topology. See the article on topology for basic definitions.

This glossary is divided into two parts. The first part deals with general concepts, and the second part lists types of topological spaces defined in terms of these concepts. All spaces in this glossary are assumed to be topological spaces.

Table of contents

Part 1 -- topological concepts

Part 2 -- types of topological spaces

Topological spaces can be classified regarding the degree to which their points are separated, regarding their compactness, their overall size and their connectedness.

Separation axioms

For a detailed treatment, see Separation axiom. Some of these terms are defined differently in older mathematical literature; see History of the separation axioms[?].

Compactness

Size

Connectedness

Miscellaneous

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