Titlebook: General Topology II; Compactness, Homolog A. V. Arhangel’skii Book 1996 Springer-Verlag Berlin Heidelberg 1996 Algebraic structure.Boolean

Institution

0938-0396 he final formulation of a general definition of compactness and the creation of the foundations of the theory of compact topological spaces are due to P.S. Alek978-3-642-77032-6978-3-642-77030-2Series ISSN 0938-0396

Induction

Introduction,s appeared in mathematics for the first time as one of the main topological properties of an interval, a square, a sphere and any closed, bounded subset of a finite dimensional Euclidean space. Once it was realized that precisely this property was responsible for a series of fundamental facts relate

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Compactness and Products,ntable compactness, pseudocompactness and other properties of compactness type. Compactness is preserved under formation of the product without any restrictions on the cardinality of the family of factors and their separation properties, while other properties of compactness type can be destroyed al

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遗留之物

Algebraic Structures and Compactness. A Review of the Most Important Results,e in the case of mutual correspondence between an arbitrary Tikhonov space . and the ring . (.) of all bounded, continuous real-valued functions on . Denote by .(.) the set of all nontrivial homomorphisms of the ring . (.) into the ring ℝ of real numbers and introduce the topology of pointwise conve

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Renin-induced Hypertension, larger doses there was a more pronounced rise, which was, however, followed by a return toward normal levels in spite of the continued infusion. Even when the period of infusion was extended up to 18 days, hypertension did not become self-sustained and no hypertensive vascular lesions were observed