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Theory of resolvable spaces

✍ Scribed by N. V. Velichko

Publisher: SP MAIK Nauka/Interperiodica
Year: 1976
Tongue: English
Weight: 224 KB
Volume: 19
Category: Article
ISSN: 0001-4346
DOI: 10.1007/bf01147621

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📜 SIMILAR VOLUMES

Resolvable, not maximally resolvable spa

Resolvable, not maximally resolvable spaces

✍ Frederick W Eckertson 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 769 KB

The formation of maximal topologies and the use of maximal independent families are the only known techniques for constructing irresolvable spaces. Using side conditions to control maximal constructions, we give a new construction of n-resolvable, not (n + I )-resolvable spaces. In another direction

Strongly exactly n-resolvable spaces of

Strongly exactly n-resolvable spaces of arbitrarily large dispersion character

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A topological space X is called strongly exactly n-resolvable if X is n-resolvable and no nonempty subset of X is (n+1)-resolvable. We prove that, in ZFC, for every infinite cardinal α and every integer n > 0, there exist card-homogeneous, strongly exactly n-resolvable Tychonoff spaces of dispersion

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