O. Okunev, A. Tamariz-Mascar\'ua
Generalized linearly ordered spaces and weak pseudocompactness

Comment.Math.Univ.Carolinae 38,4 (1997) 775-790.

Abstract:A space $X$ is {truly weakly pseudocompact} if $X$ is either weakly pseudocompact or Lindel\"of 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].

Keywords: weakly pseudocompact spaces, GLOTS, compactifications
AMS Subject Classification: 54D35, 54F05

PDF