Notes on selection principles in topology (I): Paracompactness

Liljana Babinkostova; Ljubiša D.R. Kočinac; Marion Scheepers

doi:10.4134/JKMS.2005.42.4.709

Notes on selection principles in topology (I): Paracompactness

Liljana Babinkostova
, Ljubiša D.R. Kočinac
, Marion Scheepers

Mathematics Department

University of Nis

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

G. Gruenhage gave a characterization of paracompactness of locally compact spaces in terms of game theory ([6]). Starting from that result we give another such characterization using a selective version of that game, and study a selection principle in the class of locally compact spaces and its relationships with game theory and a Ramseyan partition relation. We also consider a selective version of paracompactness.

Original language	English
Pages (from-to)	709-721
Number of pages	13
Journal	Journal of the Korean Mathematical Society
Volume	42
Issue number	4
DOIs	https://doi.org/10.4134/JKMS.2005.42.4.709
State	Published - Jul 2005

Keywords

Game theory
Locally compact
Moving-off family
Paracompact
Ramsey theory
Selection principles

Access to Document

10.4134/JKMS.2005.42.4.709

Cite this

@article{1aa27e5e532d42e784fb4a7acfc030f0,

title = "Notes on selection principles in topology (I): Paracompactness",

abstract = "G. Gruenhage gave a characterization of paracompactness of locally compact spaces in terms of game theory ([6]). Starting from that result we give another such characterization using a selective version of that game, and study a selection principle in the class of locally compact spaces and its relationships with game theory and a Ramseyan partition relation. We also consider a selective version of paracompactness.",

keywords = "Game theory, Locally compact, Moving-off family, Paracompact, Ramsey theory, Selection principles",

author = "Liljana Babinkostova and Ko{\v c}inac, \{Ljubi{\v s}a D.R.\} and Marion Scheepers",

year = "2005",

month = jul,

doi = "10.4134/JKMS.2005.42.4.709",

language = "English",

volume = "42",

pages = "709--721",

number = "4",

}

TY - JOUR

T1 - Notes on selection principles in topology (I)

T2 - Paracompactness

AU - Babinkostova, Liljana

AU - Kočinac, Ljubiša D.R.

AU - Scheepers, Marion

PY - 2005/7

Y1 - 2005/7

N2 - G. Gruenhage gave a characterization of paracompactness of locally compact spaces in terms of game theory ([6]). Starting from that result we give another such characterization using a selective version of that game, and study a selection principle in the class of locally compact spaces and its relationships with game theory and a Ramseyan partition relation. We also consider a selective version of paracompactness.

AB - G. Gruenhage gave a characterization of paracompactness of locally compact spaces in terms of game theory ([6]). Starting from that result we give another such characterization using a selective version of that game, and study a selection principle in the class of locally compact spaces and its relationships with game theory and a Ramseyan partition relation. We also consider a selective version of paracompactness.

KW - Game theory

KW - Locally compact

KW - Moving-off family

KW - Paracompact

KW - Ramsey theory

KW - Selection principles

UR - https://www.scopus.com/pages/publications/21944457423

U2 - 10.4134/JKMS.2005.42.4.709

DO - 10.4134/JKMS.2005.42.4.709

M3 - Article

AN - SCOPUS:21944457423

SN - 0304-9914

VL - 42

SP - 709

EP - 721

JO - Journal of the Korean Mathematical Society

JF - Journal of the Korean Mathematical Society

IS - 4

ER -

Notes on selection principles in topology (I): Paracompactness

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this