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

Lončar, Ivan (2000)

International Journal of Mathematics and Mathematical Sciences

$ℵ$ -Dowker spaces

Mary Ellen Rudin (1978)

Czechoslovak Mathematical Journal

$\partial$ -Hausdorff biclosure spaces.

Boonpok, Chawalit (2010)

Acta Universitatis Apulensis. Mathematics - Informatics

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.

3-dimensional AR's which do not contain 2-dimensional ANR's

S. Singh (1976)

Fundamenta Mathematicae

$δ$ -complétion et $G_{δ}$ -densité

A. Deaibes, R. Pupier (1972)

Publications du Département de mathématiques (Lyon)

$ϰ$ -Lindelöf locales and their spatial parts

P. B. Johnson (1991)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

$Σ$ -products of paracompact Čech-scattered spaces

Hidenori Tanaka (2006)

Commentationes Mathematicae Universitatis Carolinae

In this paper, we shall discuss $Σ$ -products of paracompact Čech-scattered spaces and show the following: (1) Let $Σ$ be a $Σ$ -product of paracompact Čech-scattered spaces. If $Σ$ has countable tightness, then it is collectionwise normal. (2) If $Σ$ is a $Σ$ -product of first countable, paracompact (subparacompact) Čech-scattered spaces, then it is shrinking (subshrinking).

$Σ_{s}$ -products revisited

Reynaldo Rojas-Hernández (2015)

Commentationes Mathematicae Universitatis Carolinae

We show that any $Σ_{s}$ -product of at most $𝔠$ -many $L Σ (\leq ω)$ -spaces has the $L Σ (\leq ω)$ -property. This result generalizes some known results about $L Σ (\leq ω)$ -spaces. On the other hand, we prove that every $Σ_{s}$ -product of monotonically monolithic spaces is monotonically monolithic, and in a similar form, we show that every $Σ_{s}$ -product of Collins-Roscoe spaces has the Collins-Roscoe property. These results generalize some known results about the Collins-Roscoe spaces and answer some questions due to Tkachuk [Lifting the Collins-Roscoe...