Homeomorphism between semi- spaces
K. K. Dube, R. K. Sengar (1980)
Matematički Vesnik
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K. K. Dube, R. K. Sengar (1980)
Matematički Vesnik
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M. Jelić (1982)
Matematički Vesnik
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S. P. Arya, M. P. Bhamini (1982)
Matematički Vesnik
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D. S. Janković (1982)
Matematički Vesnik
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Enrique Castañeda-Alvarado, Ivon Vidal-Escobar (2017)
Commentationes Mathematicae Universitatis Carolinae
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In this paper we construct a Kelley continuum such that is not semi-Kelley, this answers a question posed by J.J. Charatonik and W.J. Charatonik in A weaker form of the property of Kelley, Topology Proc. 23 (1998), 69–99. In addition, we show that the hyperspace is not semi- Kelley. Further we show that small Whitney levels in are not semi-Kelley, answering a question posed by A. Illanes in Problemas propuestos para el taller de Teoría de continuos y sus hiperespacios, Queretaro,...
Sal Barone, Saugata Basu (2014)
Journal of the European Mathematical Society
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We prove that the number of distinct homotopy types of limits of one-parameter semi-algebraic families of closed and bounded semi-algebraic sets is bounded singly exponentially in the additive complexity of any quantifier-free first order formula defining the family. As an important consequence, we derive that the number of distinct homotopy types of semi-algebraic subsets of defined by a quantifier-free first order formula , where the sum of the additive complexities of the polynomials...
Barry James Gardner (2022)
Commentationes Mathematicae Universitatis Carolinae
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Malt’tsev–Neumann products of semi-simple classes of associative rings are studied and some conditions which ensure that such a product is again a semi-simple class are obtained. It is shown that both products, and of semi-simple classes and are semi-simple classes if and only if they are equal.
D. Andrijević (1984)
Matematički Vesnik
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Deepa Sinha, Pravin Garg (2011)
Discussiones Mathematicae Graph Theory
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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...
Emile Le Page, Marc Peigne (1994)
Publications mathématiques et informatique de Rennes
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Chaosheng Zhu (2015)
Annales Polonici Mathematici
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This paper is concerned with the study of the large time behavior and especially the regularity of the global attractor for the semi-discrete in time Crank-Nicolson scheme to discretize the Benjamin-Bona-Mahony equation on ℝ¹. Firstly, we prove that this semi-discrete equation provides a discrete infinite-dimensional dynamical system in H¹(ℝ¹). Then we prove that this system possesses a global attractor in H¹(ℝ¹). In addition, we show that the global attractor is regular, i.e., ...
Tomasz Weiss (2014)
Bulletin of the Polish Academy of Sciences. Mathematics
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We prove in ZFC that there is a set and a surjective function H: A → ⟨0,1⟩ such that for every null additive set X ⊆ ⟨0,1), is null additive in . This settles in the affirmative a question of T. Bartoszyński.
Samir Al Mohammady, Sid Ahmed Ould Beinane, Sid Ahmed Ould Ahmed Mahmoud (2022)
Mathematica Bohemica
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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
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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...
Tomasz Weiss (2009)
Bulletin of the Polish Academy of Sciences. Mathematics
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Let T be the standard Cantor-Lebesgue function that maps the Cantor space onto the unit interval ⟨0,1⟩. We prove within ZFC that for every , X is meager additive in iff T(X) is meager additive in ⟨0,1⟩. As a consequence, we deduce that the cartesian product of meager additive sets in ℝ remains meager additive in ℝ × ℝ. In this note, we also study the relationship between null additive sets in and ℝ.
Euline Green (1971)
Colloquium Mathematicae
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