Detail výsledku

On the problem of weak reflectines in compact spaces

KOVÁR, M. On the problem of weak reflectines in compact spaces. ANNALS OF THE NEW YORK ACADEMY OF SCIENCES, 1996, vol. 1996, no. 1, 4 p. ISSN: 0077-8923.
Typ
článek v časopise
Jazyk
anglicky
Autoři
Kovár Martin, doc. RNDr., Ph.D.
Abstrakt

In this paper we present, among others, an improvement of Hu\v sek's characterizeation
of the spaces with the weak compact reflection. Our main results are
as follows: A topological space has a weak reflection in compact spaces if{}f the Wallman
remainder is finite. If a $\theta$-regular or $T_1$ space has a weak compact
reflection, then the space is countably compact. A noncompact $\theta$-regular
or $T_1$ space which is weakly $\left[\omega_1,\infty\right)^r$-refinable, has
no weak reflection in compact spaces.

Klíčová slova

weak reflection, Wallman compactification,
filter (base),
$\theta$-regul\-arity, weak $\left[\omega_1,\infty\right)^r$-refinability,

Rok
1996
Strany
4
Časopis
ANNALS OF THE NEW YORK ACADEMY OF SCIENCES, roč. 1996, č. 1, ISSN 0077-8923
BibTeX 
@article{BUT38266,
  author="Martin {Kovár}",
  title="On the problem of weak reflectines in compact spaces",
  journal="ANNALS OF THE NEW YORK ACADEMY OF SCIENCES",
  year="1996",
  volume="1996",
  number="1",
  pages="4",
  issn="0077-8923"
}
Pracoviště
Fakulta elektrotechniky a komunikačních technologií (FEKT)
Ústav matematiky (UMAT)
Nahoru