Topological separation axioms

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Contents

1 Overview
2 References

Overview

Space	Meaning	Comment
[ilmath]T_1[/ilmath]
[ilmath]T_2[/ilmath]
[ilmath]T_3[/ilmath]
[ilmath]T_4[/ilmath]

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 [ilmath]\subset[/ilmath] normed spaces [ilmath]\subset[/ilmath] metric spaces [ilmath]\subset[/ilmath] topological spaces

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

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