A property of quasi-complements
Robert H. Lohman (1974)
Colloquium Mathematicae
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Robert H. Lohman (1974)
Colloquium Mathematicae
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Cabiria Andreian Cazacu (1981)
Annales Polonici Mathematici
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Andrzej Kadlof, Nikola Koceić Bilan, Nikica Uglešić (2007)
Fundamenta Mathematicae
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Borsuk's quasi-equivalence relation on the class of all compacta is considered. The open problem concerning transitivity of this relation is solved in the negative. Namely, three continua X, Y and Z lying in ℝ³ are constructed such that X is quasi-equivalent to Y and Y is quasi-equivalent to Z, while X is not quasi-equivalent to Z.
T. K. Pal, M. Maiti (1977)
Matematički Vesnik
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B. K. Ray (1978)
Matematički Vesnik
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J. Achari (1978)
Matematički Vesnik
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Olivier Olela Otafudu, Zechariah Mushaandja (2017)
Topological Algebra and its Applications
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We show that the image of a q-hyperconvex quasi-metric space under a retraction is q-hyperconvex. Furthermore, we establish that quasi-tightness and quasi-essentiality of an extension of a T0-quasi-metric space are equivalent.
Roman Sikorski (1974)
Fundamenta Mathematicae
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J. Achari (1977)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Pablo F. Meilán, Mariano Creus, Mario Garavaglia (2000)
Visual Mathematics
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José M. Rodríguez Sanjurjo (1980)
Collectanea Mathematica
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Let X, Y be two compacta with Sh(X) = Sh (Y). Then, the spaces of components of X, Y are homeomorphic. This does not happen, in general, when X, Y are quasi-equivalent. In this paper we give a sufficient condition for the existence of a homeomorphism between the spaces of components of two quasi-equivalent compacta X, Y which maps each component in a quasi-equivalent component.
D. J. Grubb (2008)
Fundamenta Mathematicae
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A quasi-linear map from a continuous function space C(X) is one which is linear on each singly generated subalgebra. We show that the collection of quasi-linear functionals has a Banach space pre-dual with a natural order. We then investigate quasi-linear maps between two continuous function spaces, classifying them in terms of generalized image transformations.
Amouch, M. (2009)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 47B47, 47B10, 47A30. In this note, we characterize quasi-normality of two-sided multiplication, restricted to a norm ideal and we extend this result, to an important class which contains all quasi-normal operators. Also we give some applications of this result.