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Displaying 101 – 120 of 141

Constructions of thin-tall Boolean spaces.

Juan Carlos Martínez (2003)

Revista Matemática Complutense

This is an expository paper about constructions of locally compact, Hausdorff, scattered spaces whose Cantor-Bendixson height has cardinality greater than their Cantor-Bendixson width.

Continuity Based on Convergence and Lower Complete Distributive Lattices instead of Directed Sets

Alexander Abian (1973)

Matematický časopis

Continuous functions between Isbell-Mrówka spaces

Salvador García-Ferreira (1998)

Commentationes Mathematicae Universitatis Carolinae

Let $Ψ (Σ)$ be the Isbell-Mr’owka space associated to the $M A D$ -family $Σ$ . We show that if $G$ is a countable subgroup of the group $𝐒 (ω)$ of all permutations of $ω$ , then there is a $M A D$ -family $Σ$ such that every $f \in G$ can be extended to an autohomeomorphism of $Ψ (Σ)$ . For a $M A D$ -family $Σ$ , we set $I n v (Σ) = {f \in 𝐒 (ω) : f [A] \in Σ$ for all $A \in Σ}$ . It is shown that for every $f \in 𝐒 (ω)$ there is a $M A D$ -family $Σ$ such that $f \in I n v (Σ)$ . As a consequence of this result we have that there is a $M A D$ -family $Σ$ such that $n + A \in Σ$ whenever $A \in Σ$ and $n < ω$ , where $n + A = {n + a : a \in A}$ for $n < ω$ . We also notice that there is no $M A D$ -family $Σ$ such...

Continuous functions on products of topological spaces

J. Gerlits (1980)

Fundamenta Mathematicae

Continuous images of Lindelöf $p$ -groups, $σ$ -compact groups, and related results

Aleksander V. Arhangel'skii (2019)

Commentationes Mathematicae Universitatis Carolinae

It is shown that there exists a $σ$ -compact topological group which cannot be represented as a continuous image of a Lindelöf $p$ -group, see Example 2.8. This result is based on an inequality for the cardinality of continuous images of Lindelöf $p$ -groups (Theorem 2.1). A closely related result is Corollary 4.4: if a space $Y$ is a continuous image of a Lindelöf $p$ -group, then there exists a covering $γ$ of $Y$ by dyadic compacta such that $| γ | \leq 2^{ω}$ . We also show that if a homogeneous compact space $Y$ is a continuous...

Continuous Relations.

Gerhard Grimeisen (1972)

Mathematische Zeitschrift

Contra $G_{δ}$ -continuity in smooth fuzzy topological spaces

D. Anitha Devi, Elango Roja, Mallasamudram Kuppusamy Uma (2009)

Mathematica Bohemica

In this paper the concept of fuzzy contra $_{δ}$ -continuity in the sense of A. P. Sostak (1985) is introduced. Some interesting properties and characterizations are investigated. Also, some applications to fuzzy compact spaces are established.

Currently displaying 101 – 120 of 141

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Displaying 101 – 120 of 141

Constructions of thin-tall Boolean spaces.

Continuity Based on Convergence and Lower Complete Distributive Lattices instead of Directed Sets

Continuous functions between Isbell-Mrówka spaces

Continuous functions on products of topological spaces

Continuous images of Lindelöf $p$ -groups, $σ$ -compact groups, and related results

Continuous Relations.

Contra $G_{δ}$ -continuity in smooth fuzzy topological spaces

Convenient categories for topologists

Convergence functions and their related topologies

Convergence in exponentiable spaces.

Convergence in Relational Structures.

Convergence of convex-concave saddle functions : applications to convex programming and mechanics

Convergence of sequences of real functions with respect to small systems

Convergence on vector spaces with $ℱ$ -localisation.

Convergence preserving permutations of $ℕ$ and Fréchet’s space of permutations of $ℕ$

Convergence structures

Convergence Structures on Homeomorphism Groups.

Convergence with respect to $F_{σ}$ -supported ideals

Convergences et relations compactantes. Application aux équilibres de Stackelberg

Convergences $𝔏_{S}^{H}$ for the group of real numbers

Currently displaying 101 – 120 of 141