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Resolvability of A-, CA- and PCA-sets in compacta

✍ Scribed by V.I. Malykhin

Book ID: 104295172
Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 451 KB
Volume: 80
Category: Article
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(96)00161-7

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✦ Synopsis

The resolvability of A-sets of uncountable dispersion character and CA-sets and PCA-sets without isolated points in Hausdorff compacta is proved. Examples of a Hausdorff countably compact irresolvable space, a Hausdorff a-compact irresolvable space of uncountable dispersion character and two a-compact Tychonoff spaces whose difference is an irresolvable space of uncountable dispersion character are constructed. A number of problems are raised.

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