✦ LIBER ✦

Calibres of first countable spaces

✍ Scribed by Stevo Todorcevic

Publisher: Elsevier Science
Year: 1994
Tongue: English
Weight: 190 KB
Volume: 57
Category: Article
ISSN: 0166-8641
DOI: 10.1016/0166-8641(94)90058-2

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

CH and first countable, countably compac

CH and first countable, countably compact spaces

✍ Todd Eisworth 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 157 KB

We show that it is consistent with the Continuum Hypothesis that first countable, countably compact spaces with no uncountable free sequences are compact. As a consequence, we get that CH does not imply the existence of a perfectly normal, countably compact, non-compact space, answering a question o

Embeddings into normal first countable s

Embeddings into normal first countable spaces

✍ Alessandro Fedeli; Attilio Le Donne 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 43 KB

In this paper we construct, in response to a question of Arhangel'skiǐ, a zero-dimensional first countable space which cannot be embedded into a normal first countable space.

Embeddings into first countable spaces w

Embeddings into first countable spaces with H-closed like properties

✍ A. Bella; I.V. Yaschenko 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 601 KB

The problem to embed a space into a first countable H-closed like space is considered. As a consequence, it is shown that no upper bound exists either for the cardinality of a first countable almost Lindelof space or for the cardinality of an H-set contained in a first countable Hausdorff space.

Countable Direct Sums of Banach Spaces

✍ M. Valdivia 📂 Article 📅 1989 🏛 John Wiley and Sons 🌐 English ⚖ 287 KB

Let (XJF-1 be a sequence of infinite-dimensional BANACH spaces. We prove that 00 @ X, has a non-locally complete quotient if XI is not quasi-reflexive.

Countable products of probabilistic norm

Countable products of probabilistic normed spaces

✍ Bernardo Lafuerza-Guillén; Carlo Sempi; Gaoxun Zhang; Minxian Zhang 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 525 KB

Some nonmetric, first countable, cancell

Some nonmetric, first countable, cancellative topological semigroups that are generalized metric spaces

✍ R.W. Heath 📂 Article 📅 1992 🏛 Elsevier Science 🌐 English ⚖ 447 KB