EuDML | Browse

Items

All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Displaying 521 – 540 of 1678

𝓤-filters and uniform compactification

Tomi Alaste (2012)

Studia Mathematica

We show that the uniform compactification of a uniform space (X,𝓤) can be considered as a space of filters on X. We apply these filters to study the ℒ𝓤𝓒-compactification of a topological group.

Filtres lents et espaces hypercomplets

Christian Léger (1964/1965)

Séminaire Choquet. Initiation à l'analyse

Fine and simply fine uniform spaces

Kůrková-Pohlová, Věra (1975)

Seminar Uniform Spaces

Fine topology on function spaces.

McCoy, R.A. (1986)

International Journal of Mathematics and Mathematical Sciences

Fineness in the category of all 0-dimensional uniform spaces

Rödl, Vojtěch (1975)

Seminar Uniform Spaces

Finite dimensional covers of metric-fine spaces

Michael David Rice (1977)

Czechoslovak Mathematical Journal

Finite dimensions defined by means of $m$ -coverings

Vitaly V. Fedorchuk (2012)

Matematički Vesnik

Finite-dimensional maps and dendrites with dense sets of end points

Hisao Kato, Eiichi Matsuhashi (2006)

Colloquium Mathematicae

The first author has recently proved that if f: X → Y is a k-dimensional map between compacta and Y is p-dimensional (0 ≤ k, p < ∞), then for each 0 ≤ i ≤ p + k, the set of maps g in the space $C (X, I^{p + 2 k + 1 - i})$ such that the diagonal product $f \times g : X \to Y \times I^{p + 2 k + 1 - i}$ is an (i+1)-to-1 map is a dense $G_{δ}$ -subset of $C (X, I^{p + 2 k + 1 - i})$ . In this paper, we prove that if f: X → Y is as above and $D_{j}$ (j = 1,..., k) are superdendrites, then the set of maps h in $C (X, \prod_{j = 1}^{k} D_{j} \times I^{p + 1 - i})$ such that $f \times h : X \to Y \times (\prod_{j = 1}^{k} D_{j} \times I^{p + 1 - i})$ is (i+1)-to-1 is a dense $G_{δ}$ -subset of $C (X, \prod_{j = 1}^{k} D_{j} \times I^{p + 1 - i})$ for each 0 ≤ i ≤ p.

Finite-to-one continuous s-covering mappings

Alexey Ostrovsky (2007)

Fundamenta Mathematicae

The following theorem is proved. Let f: X → Y be a finite-to-one map such that the restriction $f | f^{- 1} (S)$ is an inductively perfect map for every countable compact set S ⊂ Y. Then Y is a countable union of closed subsets $Y_{i}$ such that every restriction $f | f^{- 1} (Y_{i})$ is an inductively perfect map.

Finite-to-one maps and dimension

Jerzy Krzempek (2004)

Fundamenta Mathematicae

It is shown that for every at most k-to-one closed continuous map f from a non-empty n-dimensional metric space X, there exists a closed continuous map g from a zero-dimensional metric space onto X such that the composition f∘g is an at most (n+k)-to-one map. This implies that f is a composition of n+k-1 simple ( = at most two-to-one) closed continuous maps. Stronger conclusions are obtained for maps from Anderson-Choquet spaces and ones that satisfy W. Hurewicz's condition (α). The main tool is...

Firm reflections generated by complete metric spaces

E. Colebunders, A. Gerlo (2007)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

First order topology [Book]

C.W. Henson, C.G. Jockusch, Jr., L.A. Rubel, G. Takeuti (1977)

Fixed point and best proximity theorems under two classes of integral-type contractive conditions in uniform metric spaces.

De La Sen, M. (2010)

Fixed Point Theory and Applications [electronic only]

Fixed Point and Contraction Theorems in Metric Spaces.

Tudor Zamfirescu (1974)

Aequationes mathematicae

Fixed point results for multivalued contractions on ordered gauge spaces

Gabriela Petruşel (2009)

Open Mathematics

The purpose of this article is to present fixed point results for multivalued E ≤-contractions on ordered complete gauge space. Our theorems generalize and extend some recent results given in M. Frigon [7], S. Reich [12], I.A. Rus and A. Petruşel [15] and I.A. Rus et al. [16].

Fixed point results on a metric space endowed with a finite number of graphs and applications

Hajer Argoubi, Bessem Samet, Mihai Turinici (2014)