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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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.
Tomasz Natkaniec (1992)
Mathematica Slovaca
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Cabiria Andreian Cazacu (1981)
Annales Polonici Mathematici
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Salvador Romaguera, Juan Tarrés (1993)
Extracta Mathematicae
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S. K. Ghosal, M. Chatterjee (1974)
Matematički Vesnik
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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.
Mohamad, Abdul M. (2002)
Mathematica Pannonica
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M. Cencelj, J. Dydak, J. Smrekar, A. Vavpetič, Ž. Virk (2007)
Fundamenta Mathematicae
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A countable CW complex K is quasi-finite (as defined by A. Karasev) if for every finite subcomplex M of K there is a finite subcomplex e(M) such that any map f: A → M, where A is closed in a separable metric space X satisfying XτK, has an extension g: X → e(M). Levin's results imply that none of the Eilenberg-MacLane spaces K(G,2) is quasi-finite if G ≠ 0. In this paper we discuss quasi-finiteness of all Eilenberg-MacLane spaces. More generally, we deal with CW complexes with...
T. K. Pal, M. Maiti (1977)
Matematički Vesnik
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Bent Fuglede (1971)
Annales de l'institut Fourier
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This is a general study of an increasing, countably subadditive set function, called a capacity, and defined on the subsets of a topological space . The principal aim is the study of the “quasi-topological” properties of subsets of , or of numerical functions on , with respect to such a capacity . Analogues are obtained to various important properties of the fine topology in potential theory, notably the quasi Lindelöf principle (Doob), the existence of a fine support (Getoor), and...
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.