Results 21 to 30 of about 3,988,102 (209)

On (non-Menger) spaces whose closed nowhere dense subsets are Menger

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
A space $X$ is od-Menger if it satisfies $\mathsf{U_{fin}}(Δ_X, \mathcal{O}_X)$, where $\mathcal{O}_X,Δ_X$ are the collection of covers of $X$ by respectively open subsets and open dense subsets. We show that under CH, there is a refinement of the usual topology on a subset of the reals which yields a hereditarily Lindelöf, od-Menger, non-Menger, $0 ...
Baillif, Mathieu, Spadaro, Santi
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About uniformly Menger spaces [PDF]

Mathematica Moravica
Precompact type properties - precompactness (=totally precompactness), s-precompactness, pre-Lindelöfness, (=ℵ0-boundedness), t -boundedness - belong to the basic important invariants studied in the uniform topology.
Kanetov Bekbolot, Kanetova Dinara, Baidzhuranova Anara   +2 more
doaj   +2 more sources

Aberrant alternative splicing of purinergic receptor P2RX4 prevents sensitivity towards combinatorial treatment in colorectal and pancreatic cancer. [PDF]

J Pathol
Abstract Recently, we suggested the combination of chemotherapy and P2RX4 inhibition as a promising novel therapeutic approach for P2RX4‐expressing epithelial tumors to prevent paracrine resistance. Here, we aimed to assess whether determining P2RX4 expression status in colorectal and pancreatic cancer patients would allow stratification of potentially
Steup C, Dosch J, Dietz-Fricke C, Khosraviseftejani S, Engel E, Valk AF, Menger D, Welker P, Wild PJ, Kennel KB, Kantlehner M, Ziegler PK, Greten FR.   +12 more
europepmc   +2 more sources

Nearly Soft Menger Spaces [PDF]

Journal of Mathematics, 2020
In this paper, we define a weak type of soft Menger spaces, namely, nearly soft Menger spaces. We give their complete description using soft s-regular open covers and prove that they coincide with soft Menger spaces in the class of soft regular⋆ spaces.
Tareq M. Al-shami, Ljubiša D. R. Kočinac   +1 more
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Remarks on Semi-Menger and Star Semi-Menger Spaces

Tatra Mountains Mathematical Publications, 2022
Abstract It is proved that for an extremally disconnected S -paracompact- T 2 spaces the properties semi-Menger, Menger, strongly star semi-Menger, strongly star-Menger, star semi-Menger, star-Menger, almost semi ...
Kumar, Gaurav, Tyagi, Brij Kishore
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Menger spaces and inverse limits [PDF]

Pacific Journal of Mathematics, 1988
In 1984, M. Bestvina characterized the Menger universal n-dimensional spaces. This characterization is used by the authors to identify certain inverse sequences having inverse limit homeomorphic to one of the Menger spaces. Specific models of Menger spaces are then constructed in the Hilbert cube as inverse limits of polyhedra.
Garity, Dennis J., Henderson, James P., Wright, David G.   +2 more
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On the Menger covering property and $D$-spaces [PDF]

Proceedings of the American Mathematical Society, 2012
7 pages, to appear in Proc. Amer.
Repovs, Dusan, Zdomskyy, Lyubomyr
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Quasi-Menger and Weakly Menger Frames

, 2022
We study the quasi-Menger and weakly Menger properties in locales. Our definitions, which are adapted from topological spaces by replacing subsets with sublocales, are conservative in the sense that a topological space is quasi-Menger (resp.
Ighedo, Oghenetega, Bayih, Tilahun, Dube, Themba, Oghenetega Ighedo, Themba Dube, Tilahun Bayih   +5 more
core   +1 more source

On spaces with star kernel Menger

Acta Mathematica Hungarica, 2023
Given a topological property $\mathcal{P}$, a space $X$ is called star-$\mathcal{P}$ if for any open cover $\mathcal{U}$ of the space $X$, there exists a set $Y\subseteq X$ with property $\mathcal{P}$ such that $St(Y,\mathcal{U})=X$; the set $Y$ is called a star kernel of the cover $\mathcal{U}$.
Casas-De La Rosa, J., Tamariz Mascarúa, Á.   +1 more
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Products of general Menger spaces [PDF]

Topology and its Applications, 2019
We study products of general topological spaces with Menger's covering property, and its refinements based on filters and semifilters. To this end, we extend the projection method from the classic real line topology to the Michael topology. Among other results, we prove that, assuming \CH{}, every productively Lindelöf space is productively Menger, and
Szewczak, Piotr, Tsaban, Boaz
openaire   +3 more sources