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Displaying 1 – 20 of 23

On a classification of pointwise compact sets of the first Baire class functions

Witold Marciszewski (1989)

Fundamenta Mathematicae

On a theorem of P. S. Aleksandrov

Zbigniew Karno (1997)

Colloquium Mathematicae

On analyticity in cosmic spaces

Oleg Okunev (1993)

Commentationes Mathematicae Universitatis Carolinae

We prove that a cosmic space (= a Tychonoff space with a countable network) is analytic if it is an image of a $K$ -analytic space under a measurable mapping. We also obtain characterizations of analyticity and $σ$ -compactness in cosmic spaces in terms of metrizable continuous images. As an application, we show that if $X$ is a separable metrizable space and $Y$ is its dense subspace then the space of restricted continuous functions $C_{p} (X ∣ Y)$ is analytic iff it is a $K_{σ δ}$ -space iff $X$ is $σ$ -compact.

On approximation of Baire functions by Darboux functions

Jaroslav Smítal (1971)

Czechoslovak Mathematical Journal

On Baire approximations of normal integrands

Anna Kucia, Andrzej Nowak (1989)

Commentationes Mathematicae Universitatis Carolinae

On Baire isomorphisms of non-metrizable compacta

Alex Chigogidze (1985)

Commentationes Mathematicae Universitatis Carolinae

On common fixed points, periodic points, and recurrent points of continuous functions.

Alikhani-Koopaei, Aliasghar (2003)

International Journal of Mathematics and Mathematical Sciences

On decomposition of spaces on meager sets

Frankiewicz, Ryszard, Gutek, Andrzej (1981)

Abstracta. 9th Winter School on Abstract Analysis

On functions with the set of discontinuity points belonging to some $s i g m a$ -ideal

Ryszard Jerzy Pawlak (1985)

Mathematica Slovaca

On internal composants of indecomposable plane continua

J. Krasinkiewicz (1974)

Fundamenta Mathematicae

On quasi-p-bounded subsets

M. Sanchis, A. Tamariz-Mascarúa (1999)

Colloquium Mathematicae

The notion of quasi-p-boundedness for p ∈ $ω^{*}$ is introduced and investigated. We characterize quasi-p-pseudocompact subsets of β(ω) containing ω, and we show that the concepts of RK-compatible ultrafilter and P-point in $ω^{*}$ can be defined in terms of quasi-p-pseudocompactness. For p ∈ $ω^{*}$ , we prove that a subset B of a space X is quasi-p-bounded in X if and only if B × $P_{R K} (p)$ is bounded in X × $P_{R K} (p)$ , if and only if $c l_{β (X \times P_{R K} (p))} (B \times P_{R K} (p)) = c l_{β X} B \times β (ω)$ , where $P_{R K} (p)$ is the set of Rudin-Keisler predecessors of p.

On rings of Darboux functions

Ryszard Jerzy Pawlak (1987)

Colloquium Mathematicae

On some test spaces in dimension theory

Ali Fora (1981)

Fundamenta Mathematicae

On Surjective Bing Maps

Hisao Kato, Eiichi Matsuhashi (2004)

Bulletin of the Polish Academy of Sciences. Mathematics

In [7], M. Levin proved that the set of all Bing maps of a compact metric space to the unit interval is a dense $G_{δ}$ -subset of the space of all maps. In [6], J. Krasinkiewicz independently proved that the set of all Bing maps of a compact metric space to an n-dimensional manifold (n ≥ 1) is a dense $G_{δ}$ -subset of the space of maps. In [9], J. Song and E. D. Tymchatyn, solving some problems of J. Krasinkiewicz ([6]), proved that the set of all Bing maps of a compact metric space to a nondegenerate connected...

Currently displaying 1 – 20 of 23

Page 1 Next

Displaying 1 – 20 of 23

On a classification of pointwise compact sets of the first Baire class functions

On a theorem of P. S. Aleksandrov

On analyticity in cosmic spaces

On approximation of Baire functions by Darboux functions

On Baire approximations of normal integrands

On Baire isomorphisms of non-metrizable compacta

On common fixed points, periodic points, and recurrent points of continuous functions.

On decomposition of spaces on meager sets

On functions with the set of discontinuity points belonging to some $s i g m a$ -ideal

On internal composants of indecomposable plane continua

On quasi-p-bounded subsets

On rings of Darboux functions

On some test spaces in dimension theory

On Surjective Bing Maps

On the almost Lindelöf property in products of separable metric spaces

On the Baire order problem for a linear lattice of functions

On the sum and difference of two sets in topological vector spaces

On the Uniform Convergence of Sequences of Open First Baire Class Functions.

On transfinite sequences of mappings

On transformations of sets in $ℝ^{n}$

Currently displaying 1 – 20 of 23