Geodesic
Some properties of relatively strong pseudocompactness
Czechoslovak Mathematical Journal, Tome 58 (2008) no. 4, pp. 1145-1152 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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In this paper, we study some properties of relatively strong pseudocompactness and mainly show that if a Tychonoff space $X$ and a subspace $Y$ satisfy that $Y\subset \overline {{\rm Int} Y}$ and $Y$ is strongly pseudocompact and metacompact in $X$, then $Y$ is compact in $X$. We also give an example to demonstrate that the condition $Y\subset \overline {{\rm Int} Y}$ can not be omitted.
In this paper, we study some properties of relatively strong pseudocompactness and mainly show that if a Tychonoff space $X$ and a subspace $Y$ satisfy that $Y\subset \overline {{\rm Int} Y}$ and $Y$ is strongly pseudocompact and metacompact in $X$, then $Y$ is compact in $X$. We also give an example to demonstrate that the condition $Y\subset \overline {{\rm Int} Y}$ can not be omitted.
Classification : 54D20, 54D30
Keywords: relative topological properties; pseudocompact spaces; compact space 
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     author = {Zhang, Guo-Fang},
     title = {Some properties of relatively strong pseudocompactness},
     journal = {Czechoslovak Mathematical Journal},
     pages = {1145--1152},
     year = {2008},
     volume = {58},
     number = {4},
     mrnumber = {2471172},
     zbl = {1174.54016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2008_58_4_a19/}
}
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Zhang, Guo-Fang. Some properties of relatively strong pseudocompactness. Czechoslovak Mathematical Journal, Tome 58 (2008) no. 4, pp. 1145-1152. http://geodesic.mathdoc.fr/item/CMJ_2008_58_4_a19/