scholarly journals Selective covering properties of product spaces

2014 ◽  
Vol 165 (5) ◽  
pp. 1034-1057 ◽  
Author(s):  
Arnold W. Miller ◽  
Boaz Tsaban ◽  
Lyubomyr Zdomskyy
Keyword(s):  
Product Spaces ◽  
Covering Properties

On weaker forms of the chain (F) condition and metacompactness-like covering properties in the product spaces

2013 ◽  
Vol 11 (9) ◽  
Author(s):  
Süleyman Önal ◽  
Çetin Vural
Keyword(s):  
Topological Space ◽  
Countable Family ◽  
Product Spaces ◽  
Finitely Generated ◽  
Countable Product ◽  
Covering Properties

AbstractWe introduce the concept of a family of sets generating another family. Then we prove that if X is a topological space and X has W = {W(x): x ∈ X} which is finitely generated by a countable family satisfying (F) which consists of families each Noetherian of ω-rank, then X is metaLindelöf as well as a countable product of them. We also prove that if W satisfies ω-rank (F) and, for every x ∈ X, W(x) is of the form W 0(x) ∪ W 1(x), where W 0(x) is Noetherian and W 1(x) consists of neighbourhoods of x, then X is metacompact.

scholarly journals Selective covering properties of product spaces, II: $\gamma $ spaces

2015 ◽  
Vol 368 (4) ◽  
pp. 2865-2889 ◽  
Author(s):  
Arnold W. Miller ◽  
Boaz Tsaban ◽  
Lyubomyr Zdomskyy
Keyword(s):  
Product Spaces ◽  
Covering Properties

ON FULL COVERING PROPERTIES

1980 ◽  
Vol 6 (1) ◽  
pp. 77 ◽  
Author(s):  
Thomson
Keyword(s):  
Covering Properties

scholarly journals Fuzzy Inner Product Space: Literature Review and a New Approach

Mathematics ◽  
2021 ◽  
Vol 9 (7) ◽  
pp. 765
Author(s):  
Lorena Popa ◽  
Lavinia Sida
Keyword(s):  
Literature Review ◽  
Product Space ◽  
Inner Product Space ◽  
Inner Product ◽  
Product Spaces ◽  
Comprehensive Overview ◽  
New Approach ◽  
Inner Product Spaces ◽  
Product Function ◽  
Suitable Definition

The aim of this paper is to provide a suitable definition for the concept of fuzzy inner product space. In order to achieve this, we firstly focused on various approaches from the already-existent literature. Due to the emergence of various studies on fuzzy inner product spaces, it is necessary to make a comprehensive overview of the published papers on the aforementioned subject in order to facilitate subsequent research. Then we considered another approach to the notion of fuzzy inner product starting from P. Majundar and S.K. Samanta’s definition. In fact, we changed their definition and we proved some new properties of the fuzzy inner product function. We also proved that this fuzzy inner product generates a fuzzy norm of the type Nădăban-Dzitac. Finally, some challenges are given.

The Cech Cohomology of Paracompact Product Spaces

1965 ◽  
Vol 87 (1) ◽  
pp. 71 ◽  
Author(s):  
Ronald C. O'Neill
Keyword(s):  
Product Spaces ◽  
Cech Cohomology

K-reflections of product spaces

2021 ◽  
Vol 289 ◽  
pp. 107571
Author(s):  
Xiaoquan Xu
Keyword(s):  
Product Spaces
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