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On the Menger and almost Menger properties in locales

open access: yesApplied General Topology, 2021
The Menger and the almost Menger properties are extended to locales. Regarding the former, the extension is conservative (meaning that a space is Menger if and only if it is Menger as a locale), and the latter is conservative for sober TD-spaces.
Tilahun Bayih   +2 more
doaj   +6 more sources

On almost set-Menger spaces in bitopological context

open access: yesAIMS Mathematics, 2022
<abstract><p>In this paper, we define the $ ij $-almost-set Menger ($ ij $-ASM) property in bitopological spaces. We put up some equivalences of $ ij $-almost-set Menger bitopological spaces and investigate the behaviours of such spaces under some different types of mappings.
Necati Can Açıkgöz   +1 more
exaly   +3 more sources

On Almost GO-Menger Space

open access: yesDera Natung Government College Research Journal
By employing g-open sets, we present the concept of almost GOMenger space in this article. After that, the nature of almost GO-Menger space is compared to GO-Menger space, and some fundamental topological aspects of such spaces are examined. Additionally,
Susmita Sarkar, Prasenjit Prasenjit Bal
doaj   +2 more sources

Almost strongly star-Menger and related properties

open access: yesApplied General Topology
In this paper we introduce the almost strongly star-Menger property and we provide some results and relationships with another known properties in literature.
Ricardo Cruz-Castillo   +2 more
doaj   +3 more sources

Some remarks on almost Menger spaces and weakly Menger spaces

open access: yesPublications De L'Institut Mathematique, 2015
A space X is almost Menger (weakly Menger) if for each sequence (Un : n ? N) of open covers of X there exists a sequence (Vn : n ? N) such that for every n ? N, Vn is a finite subset of Un and ?n?N ?{V : V ? Vn} = X (respectively, ?n?N ?{V : V ? Vn} = X).
Yan-Kui Song
exaly   +3 more sources

Comparing Two Novel LiDAR-Based Indices for Quantifying Forest Structural Complexity. [PDF]

open access: yesEcol Evol
This study compares two LiDAR‐derived forest structural complexity indices: the fractal‐based box dimension (Db$$ {D}_b $$) and the entropy‐based canopy entropy (CE$$ CE $$). Analysis of 170 plots revealed a strong linear correlation (r = 0.823) between Db$$ {D}_b $$ and CE$$ CE $$, but computation was much slower.
Reuter T, Seidel S, Seidel D.
europepmc   +2 more sources

Weakly strongly star-Menger spaces

open access: yesCubo, 2021
A space $X$ is called weakly strongly star-Menger space if for each sequence ($\mathcal{U}_{n} : n \in \omega$) of open covers of $X,$ there is a sequence $(F_n : n\in\omega)$ of finite subsets of $X$ such that $\overline{\bigcup_{n\in\omega} St(F_n ...
Gaurav Kumar, Brij K. Tyagi
doaj   +1 more source

Superelastic behaviors of additively manufactured porous NiTi shape memory alloys designed with Menger sponge-like fractal structures

open access: yesMaterials & Design, 2021
Additively manufactured porous NiTi alloys hold unprecedented promise in metallic implants due to their low elastic modulus and superelastic behavior. Such porous structures are usually topologically ordered and designed with periodically-repeating unit ...
Meng Zhao   +7 more
doaj   +1 more source

On a probabilistic version of Meir-Keeler type fixed point theorem for a family of discontinuous operators

open access: yesApplied General Topology, 2021
A Meir-Keeler type fixed point theorem for a family of mappings is proved in Menger probabilistic metric space (Menger PM-space). We establish that completeness of the space is equivalent to fixed point property for a larger class of mappings that ...
Ravindra K. Bisht, Vladimir Rakocević
doaj   +1 more source

Selection principles and covering properties in bitopological spaces

open access: yesApplied General Topology, 2020
Our main focus in this paper is to introduce and study various selection principles in bitopological spaces. In particular, Menger type, and Hurewicz type covering properties like: Almost p-Menger, star p-Menger, strongly star p-Menger, weakly p-Hurewicz,
Moiz ud Din Khan, Amani Sabah
doaj   +1 more source

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