Paracompactness of spaces which have covering properties weaker than paracompactness

Date

2001-07-16

Author

Onal, S

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

176
views

0
downloads

We prove that (i) a collectionwise normal, orthocompact, theta (m)-refinable, [m, N-0]-submetacompact space is paracompact, (ii) a collectionwise normal, [infinity, m]-paracompact [m, N-0]-submetacompact space is paracompact. This gives a sufficient condition for the paracompactness of para-Lindelof, collectionwise normal spaces.

Subject Keywords

Geometry and Topology

URI

https://hdl.handle.net/11511/63340

Journal

TOPOLOGY AND ITS APPLICATIONS

DOI

https://doi.org/10.1016/s0166-8641(00)00028-6

Collections

Department of Mathematics, Article

Suggestions

OpenMETU
Core

There is no domain representable dense proper subsemigroup of a topological group Önal, Süleyman (Elsevier BV, 2017-02-01) We prove that the only domain representable dense subsemigroup of a topological group is itself. Consequently, we obtain that every domain representable subgroup of a topological group is closed.
Tight contact structures on hyperbolic three-manifolds Arıkan, Mehmet Fırat (Elsevier BV, 2017-11-01) Let Sigma(g) denote a closed orientable surface of genus g >= 2. We consider a certain infinite family of Sigma(g)-bundles over circle whose monodromies are taken from some collection of pseudo-Anosov diffeomorphisms. We show the existence of tight contact structure on every closed 3-manifold obtained via rational r-surgery along a section of any member of the family whenever r not equal 2g - 1. Combining with Thurston's hyperbolic Dehn surgery theorem, we obtain infinitely many hyperbolic closed 3-manifold...
On endomorphisms of surface mapping class groups Korkmaz, Mustafa (Elsevier BV, 2001-05-01) In this paper, we prove that every endomorphism of the mapping class group of an orientable surface onto a subgroup of finite index is in fact an automorphism.
An obstruction to the existence of real projective structures Coban, Hatice (Elsevier BV, 2019-09-15) In this short note, we give an obstruction to obtain examples of higher dimensional manifolds with infinite fundamental groups, including the infinite cyclic group Z, admitting no real projective structure.
On the strategies for NONEMPTY in topological games Önal, Süleyman (Elsevier BV, 2020-06-01) We prove that if NONEMPTY has a Markov strategy in the Choquet game on a space X, then the player has a 2-tactic in that game. We also prove that if NONEMPTY has a k-Markov strategy in the Choquet game on a space X which has a Noetherian base with countable rank, then the player has a k-tactic in that game. We show that if NONEMPTY has a winning strategy in the Choquet game on a space X which has one of the some special bases including sigma-locally countable bases, then the player has a 2-tactic in that ga...

Citation Formats

S. Onal, “Paracompactness of spaces which have covering properties weaker than paracompactness,” TOPOLOGY AND ITS APPLICATIONS, pp. 67–72, 2001, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/63340.