Some properties of the topology of -sets
D. Andrijević (1984)
Matematički Vesnik
Similarity:
D. Andrijević (1984)
Matematički Vesnik
Similarity:
Samir Al Mohammady, Sid Ahmed Ould Beinane, Sid Ahmed Ould Ahmed Mahmoud (2022)
Mathematica Bohemica
Similarity:
The purpose of the paper is to introduce and study a new class of operators on semi-Hilbertian spaces, i.e. spaces generated by positive semi-definite sesquilinear forms. Let be a Hilbert space and let be a positive bounded operator on . The semi-inner product , , induces a semi-norm . This makes into a semi-Hilbertian space. An operator is said to be --normal if for some positive integers and .
Wei-Feng Xuan, Yan-Kui Song (2019)
Mathematica Bohemica
Similarity:
We study relationships between separability with other properties in semi-stratifiable spaces. Especially, we prove the following statements: (1) If is a semi-stratifiable space, then is separable if and only if is ; (2) If is a star countable extent semi-stratifiable space and has a dense metrizable subspace, then is separable; (3) Let be a -monolithic star countable extent semi-stratifiable space. If and , then is hereditarily separable. Finally, we prove that for...
S. P. Arya, M. P. Bhamini (1982)
Matematički Vesnik
Similarity:
Ying Li-Jun, Qin Feng (2022)
Kybernetika
Similarity:
In this paper, we analyze and characterize all solutions about -migrativity properties of the five subclasses of 2-uninorms, i. e. , , , , , over semi-t-operators. We give the sufficient and necessary conditions that make these -migrativity equations hold for all possible combinations of 2-uninorms over semi-t-operators. The results obtained show that for , the -migrativity of over a semi-t-operator is closely related to the -section of or the ordinal sum representation...
Deepa Sinha, Pravin Garg (2011)
Discussiones Mathematicae Graph Theory
Similarity:
A signed graph (or sigraph in short) is an ordered pair , where is a graph G = (V,E), called the underlying graph of S and σ:E → +, - is a function from the edge set E of into the set +,-, called the signature of S. The ×-line sigraph of S denoted by is a sigraph defined on the line graph of the graph by assigning to each edge ef of , the product of signs of the adjacent edges e and f in S. In this paper, first we define semi-total line sigraph and semi-total point sigraph...
Michael G. Charalambous, Jerzy Krzempek (2010)
Fundamenta Mathematicae
Similarity:
For each natural number n ≥ 1 and each pair of ordinals α,β with n ≤ α ≤ β ≤ ω(⁺), where ω(⁺) is the first ordinal of cardinality ⁺, we construct a continuum such that (a) ; (b) ; (c) ; (d) if β < ω(⁺), then is separable and first countable; (e) if n = 1, then can be made chainable or hereditarily decomposable; (f) if α = β < ω(⁺), then can be made hereditarily indecomposable; (g) if n = 1 and α = β < ω(⁺), then can be made chainable and hereditarily indecomposable. In...
M. Jelić (1982)
Matematički Vesnik
Similarity:
Tadeusz Maćkowiak
Similarity:
CONTENTSIntroduction.......................................................................................................51. Preliminaries.................................................................................................6 A. Mappings....................................................................................................6 B. Arc-like continua.........................................................................................8 C. Pseudosuspensions...................................................................................8 D....
José G. Anaya, Enrique Castañeda-Alvarado, José A. Martínez-Cortez (2021)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
Let be a continuum and a positive integer. Let be the hyperspace of all nonempty closed subsets of with at most components, endowed with the Hausdorff metric. For compact subset of , define the hyperspace . In this paper, we consider the hyperspace , which can be a tool to study the space . We study this hyperspace in the class of finite graphs and in general, we prove some properties such as: aposyndesis, local connectedness, arcwise disconnectedness, and contractibility. ...
Alejandro Illanes (2016)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
A metric continuum is said to be continuously homogeneous provided that for every two points there exists a continuous surjective function such that . Answering a question by W.J. Charatonik and Z. Garncarek, in this paper we show a continuum such that the hyperspace of subcontinua of , , is not continuously homogeneous.
José G. Anaya, Enrique Castañeda-Alvarado, Alejandro Fuentes-Montes de Oca, Fernando Orozco-Zitli (2018)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
A connected topological space is unicoherent provided that if where and are closed connected subsets of , then is connected. Let be a unicoherent space, we say that makes a hole in if is not unicoherent. In this work the elements that make a hole to the cone and the suspension of a metric space are characterized. We apply this to give the classification of the elements of hyperspaces of some continua that make them hole.
Tomasz Słonka (2012)
Colloquium Mathematicae
Similarity:
We show that if n is a positive integer and , then for every positive integer m and for every real constant c > 0 there are functions such that and for every x ∈ ℝⁿ there exists a strictly increasing sequence (i₁,...,iₙ) of numbers from 1,...,n+m and a w ∈ ℤⁿ such that for .
Ivan Lončar (2017)
Archivum Mathematicum
Similarity:
For metrizable continua, there exists the well-known notion of a Whitney map. If is a nonempty, compact, and metric space, then any Whitney map for any closed subset of can be extended to a Whitney map for [3, 16.10 Theorem]. The main purpose of this paper is to prove some generalizations of this theorem.
Frans Loonstra (1985)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
Similarity:
Si considerano le estensioni chiuse di un -modulo mediante un -modulo nel caso in cui sia un anello semi-artiniano, cioè un anello con la proprietà che per ogni quoziente sia soc . Tali estensioni sono caratterizzate dal fatto che deve essere un sottomodulo semi-puro di .
Benjamín Espinoza, Verónica Martínez-de-la-Vega, Jorge M. Martínez-Montejano (2009)
Colloquium Mathematicae
Similarity:
A hit-and-miss topology () is defined for the hyperspaces , Cₙ(X) and Fₙ(X) of a continuum X. We study the relationship between and the Vietoris topology and we find conditions on X for which these topologies are equivalent.