✦ LIBER ✦

Remark on compactifications of metrizable spaces

✍ Scribed by Elzbieta Pol

Publisher: Elsevier Science
Year: 1983
Tongue: English
Weight: 377 KB
Volume: 15
Category: Article
ISSN: 0166-8641
DOI: 10.1016/0166-8641(83)90059-7

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Remarks on metrizability and generalized

Remarks on metrizability and generalized metric spaces

✍ Jun-iti Nagata 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 456 KB

The purpose of this note is to give some remarks and questions on metrizability and generalized metric spaces.

Metrizable compactification of ω is uniq

Metrizable compactification of ω is unique

✍ Jun Terasawa 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 131 KB

For every compact metrizable space X there is a melrizable compactification/J(X) of w whose remainder/~(X) \ w is homeomorphic to X. And this p(X) is unique up to homeomorphisms leaving every point of X fixed. Also/t has a functorial property in the sense that every continuous map X ---r Y can be ex

On homomorphism spaces of metrizable gro

On homomorphism spaces of metrizable groups

✍ Gábor Lukács 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 88 KB

Connectifications of metrizable spaces

✍ Gary Gruenhage; John Kulesza; Attilio Le Donne 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 600 KB

We answer a question of Alas, TkaEenko, Tkachuk, and Wilson by constructing a metrizable space with no compact open subsets which cannot be densely embedded in a connected metrizable (or even perfectly normal) space. We also obtain a result that implies that every nowhere locally compact metrizable

On the dissonance of some metrizable spa

On the dissonance of some metrizable spaces

✍ C. Costantini; S. Watson 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 657 KB

We prove that for every separable, O-dimensional me&able space X without isolated points, such that every compact subset of it is scattered, the cocompact topology on the hyperspace of X does not coincide with the upper Kuratowski topology-that is, X is dissonant. In particular, it follows that the

On metrizable type (MT-) maps and spaces

✍ D. Buhagiar; T. Miwa; B.A. Pasynkov 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 197 KB

In this paper we define and study MT-maps, which are the fibrewise topological analogue of metrizable spaces, i.e., the extension of metrizability from the category Top to the category Top Y . Several characterizations and properties of MT-maps are proved. The notion of an MT-space as an MT-map prei