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Monotone meta-Lindelöf spaces

Yin-Zhu Gao, Wei-Xue Shi (2009)

Czechoslovak Mathematical Journal

In this paper, we study the monotone meta-Lindelöf property. Relationships between monotone meta-Lindelöf spaces and other spaces are investigated. Behaviors of monotone meta-Lindelöf $G O$ -spaces in their linearly ordered extensions are revealed.

Monotone retractions and depth of continua

Janusz Jerzy Charatonik, Panayotis Spyrou (1994)

Archivum Mathematicum

It is shown that for every two countable ordinals $α$ and $β$ with $α > β$ there exist $λ$ -dendroids $X$ and $Y$ whose depths are $α$ and $β$ respectively, and a monotone retraction from $X$ onto $Y$ . Moreover, the continua $X$ and $Y$ can be either both arclike or both fans.

Monotone retracts of an arcwise connected continuum

T. Maćkowiak (1979)

Colloquium Mathematicae

More on ordinals in topological groups

Aleksander V. Arhangel'skii, Raushan Z. Buzyakova (2008)

Commentationes Mathematicae Universitatis Carolinae

Let $τ$ be an uncountable regular cardinal and $G$ a $T_{1}$ topological group. We prove the following statements: (1) If $τ$ is homeomorphic to a closed subspace of $G$ , $G$ is Abelian, and the order of every non-neutral element of $G$ is greater than $5$ then $τ \times τ$ embeds in $G$ as a closed subspace. (2) If $G$ is Abelian, algebraically generated by $τ \subset G$ , and the order of every element does not exceed $3$ then $τ \times τ$ is not embeddable in $G$ . (3) There exists an Abelian topological group $H$ such that $ω_{1}$ is homeomorphic to a closed subspace...

Displaying 41 – 47 of 47

Monotone meta-Lindelöf spaces

Monotone retractions and depth of continua

Monotone retracts of an arcwise connected continuum

More on ordinals in topological groups

Movability and shape-connectivity

Multicoherent spaces

Mutational retracts and extensions of mutations

Currently displaying 41 – 47 of 47