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Displaying 1381 – 1400 of 8496

Category theorems concerning Z-density continuous functions

K. Ciesielski, L. Larson (1991)

Fundamenta Mathematicae

The ℑ-density topology $T_{ℑ}$ on ℝ is a refinement of the natural topology. It is a category analogue of the density topology [9, 10]. This paper is concerned with ℑ-density continuous functions, i.e., the real functions that are continuous when the ℑ-densitytopology is used on the domain and the range. It is shown that the family $C_{ℑ}$ of ordinary continuous functions f: [0,1]→ℝ which have at least one point of ℑ-density continuity is a first category subset of C([0,1])= f: [0,1]→ℝ: f is continuous equipped...

Cauchy completion in category theory

Francis Borceux, Dominique Dejean (1986)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

Cauchy nets and open colorings.

Farah, Ilijas (1998)

Publications de l'Institut Mathématique. Nouvelle Série

Cauchy sequences in $ℒ$ -groups

Roman Frič (1990)

Czechoslovak Mathematical Journal

Cauchy Sequences in Quasi-Pseudo-Metric Spaces.

I.L. Reilly, P.V. Subrahmanyam (1982)

Monatshefte für Mathematik

Cauchy Spaces. I. Structure and Uniformization Theorems.

J.F. RAMALEY, Oswald WYLER (1970)

Mathematische Annalen

Cauchy Spaces. II. Regular Completions and Compactifications.

J.F. RAMALEY, Oswald WYLER (1970)

Mathematische Annalen

Cauchy's equation on ?: futher results.

Thomas Riedel (1992)

Aequationes mathematicae

Causal structures in linear spaces.

Krym, Victor R. (1997)

Southwest Journal of Pure and Applied Mathematics [electronic only]

C-closed functions

G. L. Garg, B. Kumar (1989)

Matematički Vesnik

Čech analytic and almost $K$ -descriptive spaces

Petr Holický (1993)

Czechoslovak Mathematical Journal

Čech cohomology and covering dimension for topological spaces

Kiiti Morita (1975)

Fundamenta Mathematicae

Čech complete nearness spaces

H. L. Bentley, Worthen N. Hunsaker (1992)

Commentationes Mathematicae Universitatis Carolinae

We study Čech complete and strongly Čech complete topological spaces, as well as extensions of topological spaces having these properties. Since these two types of completeness are defined by means of covering properties, it is quite natural that they should have a convenient formulation in the setting of nearness spaces and that in that setting these formulations should lead to new insights and results. Our objective here is to give an internal characterization of (and to study) those nearness...

Čech homology for movable compacta

R. Overton (1973)

Fundamenta Mathematicae

Čech methods and the adjoint functor theorem

Renato Betti (1985)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

Čech-completeness and ultracompleteness in “nice spaces”

Miguel López de Luna, Vladimir Vladimirovich Tkachuk (2002)

Commentationes Mathematicae Universitatis Carolinae

We prove that if $X^{n}$ is a union of $n$ subspaces of pointwise countable type then the space $X$ is of pointwise countable type. If $X^{ω}$ is a countable union of ultracomplete spaces, the space $X^{ω}$ is ultracomplete. We give, under CH, an example of a Čech-complete, countably compact and non-ultracomplete space, giving thus a partial answer to a question asked in [BY2].

Čech-Stone remainders of spaces that look like $[0, \infty]$

Alan S. Dow, Klaas Pieter Hart (1993)

Acta Universitatis Carolinae. Mathematica et Physica

Čech-Stone-like compactifications for general topological spaces

Miroslav Hušek (1992)

Commentationes Mathematicae Universitatis Carolinae

The problem whether every topological space $X$ has a compactification $Y$ such that every continuous mapping $f$ from $X$ into a compact space $Z$ has a continuous extension from $Y$ into $Z$ is answered in the negative. For some spaces $X$ such compactifications exist.

Čechův-Stoneův $β$ -obal

Petr Simon (1980)

Pokroky matematiky, fyziky a astronomie

Cell-like maps, dimension and cohomological dimension: a survey

Leonard R. Rubin (1986)

Banach Center Publications

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