Generalized linearly ordered spaces and weak pseudocompactness

Okunev, Oleg, and Tamariz-Mascarúa, Angel. "Generalized linearly ordered spaces and weak pseudocompactness." Commentationes Mathematicae Universitatis Carolinae 38.4 (1997): 775-790. <http://eudml.org/doc/248069>.

@article{Okunev1997,
abstract = {A space $X$ is truly weakly pseudocompact if $X$ is either weakly pseudocompact or Lindelöf locally compact. We prove that if $X$ is a generalized linearly ordered space, and either (i) each proper open interval in $X$ is truly weakly pseudocompact, or (ii) $X$ is paracompact and each point of $X$ has a truly weakly pseudocompact neighborhood, then $X$ is truly weakly pseudocompact. We also answer a question about weakly pseudocompact spaces posed by F. Eckertson in [Eck].},
author = {Okunev, Oleg, Tamariz-Mascarúa, Angel},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {weakly pseudocompact spaces; GLOTS; compactifications; weakly pseudocompact space; linearly ordered space},
language = {eng},
number = {4},
pages = {775-790},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Generalized linearly ordered spaces and weak pseudocompactness},
url = {http://eudml.org/doc/248069},
volume = {38},
year = {1997},
}

TY - JOUR
AU - Okunev, Oleg
AU - Tamariz-Mascarúa, Angel
TI - Generalized linearly ordered spaces and weak pseudocompactness
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1997
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 38
IS - 4
SP - 775
EP - 790
AB - A space $X$ is truly weakly pseudocompact if $X$ is either weakly pseudocompact or Lindelöf locally compact. We prove that if $X$ is a generalized linearly ordered space, and either (i) each proper open interval in $X$ is truly weakly pseudocompact, or (ii) $X$ is paracompact and each point of $X$ has a truly weakly pseudocompact neighborhood, then $X$ is truly weakly pseudocompact. We also answer a question about weakly pseudocompact spaces posed by F. Eckertson in [Eck].
LA - eng
KW - weakly pseudocompact spaces; GLOTS; compactifications; weakly pseudocompact space; linearly ordered space
UR - http://eudml.org/doc/248069
ER -