Hausdorff space
topological space in which distinct points have disjoint neighbourhoods
Facts
6 properties- Subclass of
- weak Hausdorff space, sober space, preregular space[2][3][4]
- Defining formula
- \forall x,y\in X\ \exists\,U_x,U_y\in{\mathcal T}:\;x\in U_x\and y\in U_y\and U_x\cap U_y=\emptyset
- Has characteristic
- separation axiom[5]
- In defining formula
- \mathcal T, X
- Maintained by WikiProject
- WikiProject Mathematics[6]
- Named after
- Felix Hausdorff[1]
🏷️ Also known as
en Hausdorff space
en T₂ space
en separated space
en T2 space
ar فضاء هاوسدورف
cs T2 prostor
cs Hausdorffův prostor
cs oddělitelný prostor
da Preregulær
da Hausdorffrum
da Preregulært rum
da Hausdorff-rum
da Separeret rum
de Hausdorffscher Raum
de Hausdorff-Raum
de Hausdorffeigenschaft
de Hausdorffsch
de Hausdorffsches Trennungsaxiom
de T₂-Raum
de T2-Raum
🔖 Identifiers · 18
- OpenAlex ID
- C191399826
- Image (Wikimedia Commons)
- Hausdorff space.svg ↗
- Elhuyar ZTH ID
- 133662
- Encyclopædia Britannica Online ID
- topic/Hausdorff-space
- Femiwiki ID
- 5524
- Freebase ID
- /m/03k2c
- Gran Enciclopèdia Catalana ID
- espai-de-hausdorff
- Gran Enciclopèdia Catalana ID (former scheme)
- 0032241
- Great Russian Encyclopedia portal ID
- khausdorfovo-prostranstvo-d4307b
- JSTOR topic ID (archived)
- hausdorff-spaces
- MathWorld ID
- T2-Space, HausdorffSpace
- Metamath statement ID
- df-haus
Show all 18 identifiers +6
- Microsoft Academic ID (discontinued)
- 191399826
- NLab ID
- Hausdorff space
- ProofWiki ID
- Definition:Hausdorff_Space
- ScienceDirect topic ID
- mathematics/hausdorff-space
- Stack Exchange tag
- mathoverflow.net
- Treccani's Enciclopedia della Matematica ID
- spazio-di-hausdorff
🔗 Connections
Subtypes 8
Examples 6
Subclass of 2
Created notable works 1
Has characteristic 1
Maintained by WikiProject 1
Named after 1
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