Paranormal space
In mathematics, in the realm of topology, a paranormal space (Nyikos 1984) is a topological space in which every countable discrete collection of closed sets has a locally finite open expansion.
See also
- Collectionwise normal space – Property of topological spaces stronger than normality
- Locally normal space
- Monotonically normal space – Property of topological spaces stronger than normality
- Normal space – Type of topological space – a topological space in which every two disjoint closed sets have disjoint open neighborhoods
- Paracompact space – Topological space in which every open cover has an open refinement that is locally finite – a topological space in which every open cover admits an open locally finite refinement
- Separation axiom – Axioms in topology defining notions of "separation"
References
- Nyikos (1984), "Problem Section: Problem B. 25", Top. Proc., 9
- Smith, Kerry D.; Szeptycki, Paul J. (2000), "Paranormal spaces under ◊*", Proceedings of the American Mathematical Society, 128 (3): 903–908, doi:10.1090/S0002-9939-99-05032-7, ISSN 0002-9939, MR 1622981
- v
- t
- e
Topology
- General (point-set)
- Algebraic
- Combinatorial
- Continuum
- Differential
- Geometric
- Homology
- Set-theoretic
- Digital
- Open set / Closed set
- Interior
- Continuity
- Space
- Homotopy
- Simplicial complex
- CW complex
- Polyhedral complex
- Manifold
- Bundle (mathematics)
- Second-countable space
- Cobordism
Category
Mathematics portal
Wikibook
Wikiversity
Topics - Publications
 | This topology-related article is a stub. You can help Wikipedia by expanding it. |
- v
- t
- e
