EuDML | Browse

If a metrizable space $X$ is dense in a metrizable space $Y$ , then $Y$ is called a metric extension of $X$ . If $T_{1}$ and $T_{2}$ are metric extensions of $X$ and there is a continuous map of $T_{2}$ into $T_{1}$ keeping $X$ pointwise fixed, we write $T_{1} \leq T_{2}$ . If $X$ is noncompact and metrizable, then $(ℳ (X), \leq)$ denotes the set of metric extensions of $X$ , where $T_{1}$ and $T_{2}$ are identified if $T_{1} \leq T_{2}$ and $T_{2} \leq T_{1}$ , i.e., if there is a homeomorphism of $T_{1}$ onto $T_{2}$ keeping $X$ pointwise fixed. $(ℳ (X), \leq)$ is a large complicated poset studied extensively by V. Bel’nov [The structure of...

Propriété de Baire de $β N$ muni d’une nouvelle topologie et application à la construction d’ultrafiltres

Maryvonne Daguenet (1974/1975)

Séminaire Choquet. Initiation à l'analyse

Proximity approach to extension problems

M. Gagrat, S. Naimpally (1971)

Fundamenta Mathematicae

Proximity classes of uniformities

W. Kulpa (1975)

Fundamenta Mathematicae

P-sets and minimal right ideals in ℕ*

W. R. Brian (2015)

Fundamenta Mathematicae

Recall that a P-set is a closed set X such that the intersection of countably many neighborhoods of X is again a neighborhood of X. We show that if 𝔱 = 𝔠 then there is a minimal right ideal of (βℕ,+) that is also a P-set. We also show that the existence of such P-sets implies the existence of P-points; in particular, it is consistent with ZFC that no minimal right ideal is a P-set. As an application of these results, we prove that it is both consistent with and independent of ZFC that the shift...

Pseudocompactness - from compactifications to multiplication of borel sets

Eliza Wajch (1992)

Colloquium Mathematicae

Quasi $M$ -compact spaces

Salvador García-Ferreira (1996)

Czechoslovak Mathematical Journal

Quasi-metrizable spaces with a bicomplete structure.

Salvador Romaguera, Sergio Salbany (1992)

Extracta Mathematicae

Quasi-uniform completions of partially ordered spaces

David Buhagiar, Tanja Telenta (2007)

Mathematica Slovaca

Ramsey theoretic consequences of some new results about algebra in the Stone-Čech compactification.

Carlson, Timothy J., Hindman, Neil, Strauss, Dona (2005)

Integers

Rapid ultrafilter need not be Q-point

Bukovský, L., Copláková, E. (1982)

Proceedings of the 10th Winter School on Abstract Analysis

Rapport entre l'ensemble des ultrafiltres admettant un ultrafiltre donné pour image et l'ensemble des images de cet ultrafiltre

Maryvonne Daguenet (1975)

Commentationes Mathematicae Universitatis Carolinae

Real closed rings, I. Residue rings of rings of continuous functions

Gregory Cherlin, Max Dickmann (1986)

Fundamenta Mathematicae

Realcompactification of frames

Nizar Marcus (1995)

Commentationes Mathematicae Universitatis Carolinae

We give a construction of Wallman-type realcompactifications of a frame $L$ by considering regular sub $σ$ -frames the join of which generates $L$ . In particular, we show that the largest such regular sub $σ$ -frame gives rise to the universal realcompactification of $L$ .

Realcompactness and Wallman realcompactification

Alò, Richard A., Shapiro, Harvey L., Weir, Maurice (1975)

Portugaliae mathematica

Currently displaying 241 – 260 of 388

Previous Page 13 Next