Geodesic
Generalized linearly ordered spaces and weak pseudocompactness
Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 4, pp. 775-790 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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A space $X$ is {\it 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].
A space $X$ is {\it 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].
Classification : 54D35, 54F05
Keywords: weakly pseudocompact spaces; GLOTS; compactifications 
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     author = {Okunev, O. and Tamariz-Mascar\'ua, A.},
     title = {Generalized linearly ordered spaces and weak pseudocompactness},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {775--790},
     year = {1997},
     volume = {38},
     number = {4},
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     zbl = {0937.54021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1997_38_4_a12/}
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Okunev, O.; Tamariz-Mascarúa, A. Generalized linearly ordered spaces and weak pseudocompactness. Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 4, pp. 775-790. http://geodesic.mathdoc.fr/item/CMUC_1997_38_4_a12/