scholarly journals Investigations onweak versions of the Alster property in bitopological spaces and selection principles

Filomat ◽  
2019 ◽  
Vol 33 (14) ◽  
pp. 4561-4571
Author(s):  
Emre Eysen ◽  
Selma Özçağ
Keyword(s):  
Topological Properties ◽  
Selection Principles ◽  
Bitopological Spaces

We investigate the relationships among the weaker forms of the properties ?Menger?, ?Alster? and ?Lindel?f? in bitopological spaces. We give some counterexamples to show the differences between these properties. Further we introduce the weak versions of the Alster property in terms of selection principles and obtain some of their topological properties.

scholarly journals Neighbourhood star selection properties in bitopological spaces

Filomat ◽  
2021 ◽  
Vol 35 (1) ◽  
pp. 339-351
Author(s):  
Rachid Lakehal ◽  
Ljubisa Kocinac ◽  
Djamila Seba
Keyword(s):  
Selection Principles ◽  
Bitopological Spaces

In this paper we introduce and study some new types of star-selection principles ((i,j)-NSM, (i,j)-NSR and (i,j)-NSH) in bitopologivcal spaces. Various properties of these selection properties are established and their relations with known selection principles are discussed. Several examples are given.

Maximal linked systems and ultrafilters: main representations and topological properties

2020 ◽  
pp. 68-84
Author(s):  
Aleksandr G. Chentsov
Keyword(s):  
Measurable Space ◽  
Topological Properties ◽  
Bitopological Space ◽  
Measurable Structure ◽  
Bitopological Spaces ◽  
Algebras Of Sets

Questions connected with representation of the ultrafilter (UF) set for widely understood measurable space are investigated; this set is considered as a subspace of bitopological space of maximal linked systems (MLS) under equipment with topologies of Wallman and Stone types (measurable structure is defined as a π -system with “zero” and “unit”). Analogous representations connected with generalized variant of cohesion is considered also; in this variant, for corresponding set family, it is postulated the nonemptyness of intersection for finite subfamilies with power not exceeding given. Conditions of identification of UF and MLS (in the above-mentioned generalized sense) are investigated. Constructions reducing to bitopological spaces with points in the form of MLS and 𝑛-supercompactness property generalizing the “usual” supercompactness are considered. Finally, some characteristic properties of MLS and their corollaries connected with the MLS contraction to a smaller π -system are being studied. The case of algebras of sets is selected separately.

scholarly journals Selection principles and covering properties in bitopological spaces

2020 ◽  
Vol 21 (1) ◽  
pp. 159
Author(s):  
Moiz ud Din Khan ◽  
Amani Sabah
Keyword(s):  
Covering Properties ◽  
Selection Principles ◽  
Bitopological Spaces

<p>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, almost p-Hurewicz, star p-Hurewicz and strongly star p-Hurewicz spaces are defined and corresponding properties are investigated. Relations between some of these spaces are established.</p>

scholarly journals Some properties of hyperspaces of Cech closure spaces with Vietoris-like topologies

Filomat ◽  
2010 ◽  
Vol 24 (4) ◽  
pp. 53-61 ◽  
Author(s):  
Dimitrije Andrijevic ◽  
Milena Jelic ◽  
Mila Mrsevic
Keyword(s):  
Topological Properties ◽  
Selection Principles ◽  
Closure Spaces

We study some topological properties of hyperspaces of Cech closure spaces endowed with Vietoris-like topologies. Some of these notions were introduced and considered in [9, 10] and [11], focussing on selection principles.

scholarly journals Some topological properties of the space of maximal linked systems with topology of Wallman type

2020 ◽  
Vol 56 ◽  
pp. 122-137
Author(s):  
A.G. Chentsov
Keyword(s):  
Measurable Space ◽  
Topological Properties ◽  
Bitopological Spaces ◽  
Space Conditions ◽  
Degenerate Cases

Maximal linked systems (MLS) and ultrafilters (u/f) on a widely understood measurable space (this is a nonempty set with equipment in the form of π-system with “zero” and “unit”) are investigated. Under equipment with topology of Wallman type, the set of MLS is converted into a supercompact T1-space. Conditions under which given space of MLS is a supercompactum (i.e., a supercompact T2-space) are investigated. These conditions then apply to the space of u/f under equipment with topology of Wallman type. The obtained conditions are coordinated with representations obtained under degenerate cases of bitopological spaces with topologies of Wallman and Stone types, but they are not the last to be exhausted.

scholarly journals A View on Connectedness and Compactness in Fuzzy Soft Bitopological Spaces

2021 ◽  
Vol 14 (3) ◽  
pp. 760-772
Author(s):  
Abdelhamied Farrag Sayed
Keyword(s):  
Topological Properties ◽  
Separated Sets ◽  
Bitopological Spaces

In the present paper, we introduce the notions of (1, 2)∗-fuzzy soft b-separated sets, (1, 2)∗-fuzzy soft b-connectedness and (1, 2)∗-fuzzy soft b-compactness in fuzzy soft bitopological spaces. Then, some basic topological properties of these notions are investigated. Also, some illustrative examples are given to show the importance of the obtained theorems.

Electron Microscopy of Nucleic Acids

1974 ◽  
Vol 32 ◽  
pp. 302-303
Author(s):  
Norman Davidson
Keyword(s):  
Electron Microscopy ◽  
Nucleic Acids ◽  
Basic Protein ◽  
Molecular Biologist ◽  
Topological Properties ◽  
Protein Film ◽  
Polynucleotide Chain

The basic protein film technique for mounting nucleic acids for electron microscopy has proven to be a general and powerful tool for the working molecular biologist in characterizing different nucleic acids. It i s possible to measure molecular lengths of duplex and single-stranded DNAs and RNAs. In particular, it is thus possible to as certain whether or not the nucleic acids extracted from a particular source are or are not homogeneous in length. The topological properties of the polynucleotide chain (linear or circular, relaxed or supercoiled circles, interlocked circles, etc. ) can also be as certained.

The Effect of Topological Properties on Duration Perception of Oddball Stimuli

2013 ◽  
Vol 45 (12) ◽  
pp. 1324-1333
Author(s):  
Baolin LI ◽  
Youguo CHEN ◽  
Xiangyong YUAN ◽  
Jackson Todd ◽  
Xiting HUANG
Keyword(s):  
Topological Properties
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