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$𝒯_{0}$ - and $𝒯_{1}$ -reflections

Maria Manuel Clementino (1992)

Commentationes Mathematicae Universitatis Carolinae

In an abstract category with suitable notions of subobject, closure and point, we discuss the separation axioms $T_{0}$ and $T_{1}$ . Each of the arising subcategories is reflective. We give an iterative construction of the reflectors and present characteristic examples.

$ℵ_{0}$ -spaces and images of separable metric spaces.

Ge, Ying (2005)

Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]

$ℵ_{1}$ -directed inverse systems of continuous images of arcs.

Lončar, Ivan (2000)

International Journal of Mathematics and Mathematical Sciences

$𝒫$ -approximable compact spaces

Mihail G. Tkachenko (1991)

Commentationes Mathematicae Universitatis Carolinae

For every topological property $𝒫$ , we define the class of $𝒫$ -approximable spaces which consists of spaces X having a countable closed cover $γ$ such that the “section” $X (x, γ) = ⋂ {F \in γ : x \in F}$ has the property $𝒫$ for each $x \in X$ . It is shown that every $𝒫$ -approximable compact space has $𝒫$ , if $𝒫$ is one of the following properties: countable tightness, $ℵ_{0}$ -scatteredness with respect to character, $C$ -closedness, sequentiality (the last holds under MA or $2^{ℵ_{0}} < 2^{ℵ_{1}}$ ). Metrizable-approximable spaces are studied: every compact space in this class has...

$ℰ_{B}$ -dimension function of bitopological spaces

M. Jelić (1987)

Matematički Vesnik

$𝔏_{𝔠}$ und $𝔠$ -einbettbare Limesräume

B. Müller (1978)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

$\partial$ -closed sets in biclosure spaces

Chawalit Boonpok (2009)

Acta Mathematica Universitatis Ostraviensis

In the present paper, we introduce and study the concept of $\partial$ -closed sets in biclosure spaces and investigate its behavior. We also introduce and study the concept of $\partial$ -continuous maps.

$𝒲$ -completeness and fixpoint properties

Marcel Erné (1988)

Archivum Mathematicum

$𝒵$ -distributive function lattices

Marcel Erné (2013)

Mathematica Bohemica

It is known that for a nonempty topological space $X$ and a nonsingleton complete lattice $Y$ endowed with the Scott topology, the partially ordered set $[X, Y]$ of all continuous functions from $X$ into $Y$ is a continuous lattice if and only if both $Y$ and the open set lattice $𝒪 X$ are continuous lattices. This result extends to certain classes of $𝒵$ -distributive lattices, where $𝒵$ is a subset system replacing the system $𝒟$ of all directed subsets (for which the $𝒟$ -distributive complete lattices are just the continuous...

$ℵ$ -Dowker spaces

Mary Ellen Rudin (1978)

Czechoslovak Mathematical Journal

$ℒ$ -fuzzy nonlinear approximation theory with application.

Yousefi, A., Soleimani-Vareki, M. (2009)

The Journal of Nonlinear Sciences and its Applications

$\partial$ -Hausdorff biclosure spaces.

Boonpok, Chawalit (2010)

Acta Universitatis Apulensis. Mathematics - Informatics

$𝒞_{p} - E$ -movable and $𝒞 - E$ -calm compacta and their images

Zvonko Čerin (1982)

Compositio Mathematica

$(α, β, θ, \partial, ℐ)$ -continuous mappings and their decomposition.

Vielma, Jorge, Rosas, Ennis (2004)

Divulgaciones Matemáticas

$(δ - pre, s)$ -continuous functions.

Ekici, Erdal (2004)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

1/2-Homogeneous hyperspace suspensions

Sergio Macías, Patricia Pellicer-Covarrubias (2012)

Colloquium Mathematicae

We continue the study of 1/2-homogeneity of the hyperspace suspension of continua. We prove that if X is a decomposable continuum and its hyperspace suspension is 1/2-homogeneous, then X must be continuum chainable. We also characterize 1/2-homogeneity of the hyperspace suspension for several classes of continua, including: continua containing a free arc, atriodic and decomposable continua, and decomposable irreducible continua about a finite set.

Currently displaying 1 – 20 of 8506