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Topological separation axioms

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Contents

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1 Overview
2 References

Overview

Space	Meaning	Comment
$T_1$
$T_2$
$T_3$
$T_4$

References

v • d • e Topology

Overview of the structures studied in topology

Primitives	topological space, open set, neighbourhood

Global properties of topological spaces	Compactness, Connectedness (Path-Connectedness), Hausdorff-ness

Local properties of topological spaces

Constructs	product (see also box, difference between), subspace (AKA: induced), quotient, disjoint union, adjunction, cone over a topological space

Subtypes of topological spaces	inner product spaces $\subset$ normed spaces $\subset$ metric spaces $\subset$ topological spaces

Maps between topological spaces	Continuous map (AKA: topological homomorphism), topological homeomorphism

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