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Displaying 101 – 120 of 674

The convergence space of minimal usco mappings

R. Anguelov, O. F. K. Kalenda (2009)

Czechoslovak Mathematical Journal

A convergence structure generalizing the order convergence structure on the set of Hausdorff continuous interval functions is defined on the set of minimal usco maps. The properties of the obtained convergence space are investigated and essential links with the pointwise convergence and the order convergence are revealed. The convergence structure can be extended to a uniform convergence structure so that the convergence space is complete. The important issue of the denseness of the subset of all...

The Converse To An Ascoli's Type Theorem

M. M. Drešević (1972)

Publications de l'Institut Mathématique

The converse to an Ascoli's type theorem.

M.M. Dresevic (1972)

Publications de l'Institut Mathématique [Elektronische Ressource]

The convexity of the subset space of a metric space

V. W. Bryant (1970)

Compositio Mathematica

The coregular property on $γ$ -spaces

Athanasios Andrikopoulos, John Stabakis (1999)

Czechoslovak Mathematical Journal

The counterparts of some cardinal functions in bitopological spaces. I.

Murat Diker (1995)

Mathematica Bohemica

This is the first in a series of papers aimed at defining and studying bitopological counterparts of the principal cardinal invariants in topology. It is devoted to study of analogues of the functions weight, density and cellularity.

The counterparts of some cardinal functions in bitopological spaces. II.

Murat Diker (1995)

Mathematica Bohemica

In this paper, bitopological counterparts of the cardinal functions Lindelof number, weak Lindelof number and spread are introduced and studied. Some basic relations between these functions and the functions in [3] are given.

The covering dimension of product of generalized Sorgenfrey lines

A. A. Fora (1981)

Matematički Vesnik

The covering property for σ-ideals of compact, sets

Carlos Uzcátegui (1992)

Fundamenta Mathematicae

The covering property for σ-ideals of compact sets is an abstract version of the classical perfect set theorem for analytic sets. We will study its consequences using as a paradigm the σ-ideal of countable closed subsets of $2^{ω}$ .

The decomposition of functions of bounded ϰ-variation into differences of ϰ-decreasing functions

Daniel Cyphert, John Kelingos (1985)

Studia Mathematica

The decomposition series of a convergence space

Darrell C. Kent, Gary D. Richardson (1973)

Czechoslovak Mathematical Journal

The Demyanov metric and some other metrics in the family of convex sets

Tadeusz Rzeżuchowski (2012)

Open Mathematics

We describe some known metrics in the family of convex sets which are stronger than the Hausdorff metric and propose a new one. These stronger metrics preserve in some sense the facial structure of convex sets under small changes of sets.

The dimension of analytic sets

Herrmann Haase (1988)

Acta Universitatis Carolinae. Mathematica et Physica

The dimension of hyperspaces of non-metrizable continua

Wojciech Stadnicki (2012)

Colloquium Mathematicae

We prove that, for any Hausdorff continuum X, if dim X ≥ 2 then the hyperspace C(X) of subcontinua of X is not a C-space; if dim X = 1 and X is hereditarily indecomposable then either dim C(X) = 2 or C(X) is not a C-space. This generalizes some results known for metric continua.

The dimension of metrizable subspaces of Eberlein compacta and Eberlein compactifications of metrizable spaces

Michael G. Charalambous (2004)

Fundamenta Mathematicae

We prove that every Baire subspace Y of c₀(Γ) has a dense $G_{δ}$ metrizable subspace X with dim X ≤ dim Y. We also prove that the Kimura-Morishita Eberlein compactifications of metrizable spaces preserve large inductive dimension. The proofs rely on new and old results concerning the dimension of uniform spaces.

The dimension of products of complete separable metric spaces

John Kulesza (1990)

Fundamenta Mathematicae

The dimension of remainders of rim-compact spaces

J. Aarts, E. Coplakova (1993)

Fundamenta Mathematicae

Answering a question of Isbell we show that there exists a rim-compact space X such that every compactification Y of X has dim(Y)≥ 1.

The Dimension of the Set of All Finite Subsets of the Continuum

Martin Gavalec (1971)

Matematický časopis

The dimension of X^n where X is a separable metric space

John Kulesza (1996)

Fundamenta Mathematicae

For a separable metric space X, we consider possibilities for the sequence $S (X) = d_{n} : n \in ℕ$ where $d_{n} = d i m X^{n}$ . In Section 1, a general method for producing examples is given which can be used to realize many of the possible sequences. For example, there is $X_{n}$ such that $S (X_{n}) = n, n + 1, n + 2, . . .$ , $Y_{n}$ , for n >1, such that $S (Y_{n}) = n, n + 1, n + 2, n + 2, n + 2, . . .$ , and Z such that S(Z) = 4, 4, 6, 6, 7, 8, 9,.... In Section 2, a subset X of $ℝ^{2}$ is shown to exist which satisfies $1 = d i m X = d i m X^{2}$ and $d i m X^{3} = 2$ .

The Dimension Print of Most Convex Surfaces.

Tudor Zamfirescu, G. Craciun (1997)

Monatshefte für Mathematik

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