Order-like structure of monotonically normal spaces
Williams, Scott W. ; Zhou, Hao Xuan
Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998), p. 207-217 / Harvested from Czech Digital Mathematics Library
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For a compact monotonically normal space X we prove: \, (1) \, $X$ has a dense set of points with a well-ordered neighborhood base (and so $X$ is co-absolute with a compact orderable space); \, (2) \, each point of $X$ has a well-ordered neighborhood $\pi $-base (answering a question of Arhangel'skii); \, (3) \, $X$ is hereditarily paracompact iff $X$ has countable tightness. In the process we introduce weak-tightness, a notion key to the results above and yielding some cardinal function results on monotonically normal spaces.

Publié le : 1998-01-01
Classification:  54D15,  54D30,  54F05 
@article{118999,
     author = {Scott W. Williams and Hao Xuan Zhou},
     title = {Order-like structure of monotonically normal spaces},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {39},
     year = {1998},
     pages = {207-217},
     zbl = {0937.54012},
     mrnumber = {1623026},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118999}
}

Williams, Scott W.; Zhou, Hao Xuan. Order-like structure of monotonically normal spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) pp. 207-217. http://gdmltest.u-ga.fr/item/118999/

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