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gptkbp:instanceOf
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gptkb:topology
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gptkbp:alsoKnownAs
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completely regular Hausdorff space
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gptkbp:characterizedBy
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for any closed set and point not in it, there exists a continuous function separating them
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gptkbp:definedIn
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gptkb:point-set_topology
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gptkbp:hasProperty
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product of any family of Tychonoff spaces is Tychonoff
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gptkbp:hasSeparationAxiom
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gptkb:T_{3.5}_(Tychonoff)
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gptkbp:hasSubgroup
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gptkb:Stone–Čech_compactification
gptkb:topology
gptkb:locally_compact_Hausdorff_space
Hausdorff space
compact Hausdorff space
normal space
regular space
completely regular space
normal Hausdorff space
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https://www.w3.org/2000/01/rdf-schema#label
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Tychonoff space
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gptkbp:namedAfter
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gptkb:Andrey_Tychonoff
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gptkbp:relatedTo
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gptkb:Stone–Čech_compactification
gptkb:Tychonoff_theorem
gptkb:Urysohn_lemma
Hausdorff space
normal space
regular space
completely regular space
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gptkbp:satisfies
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Hausdorff separation axiom
completely regular
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gptkbp:usedIn
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gptkb:Tychonoff_theorem
gptkb:general_topology
functional analysis
compactification theory
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gptkbp:bfsParent
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gptkb:Stone–Čech_compactification
gptkb:Andrey_Tychonoff
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gptkbp:bfsLayer
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6
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