Leopoldo Nachbin – författare
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4 produkter
4 produkter
E-bok
PDF, Engelska, 2013756 kr
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North-Holland Mathematics Studies: Hewitt-Nachbin Spaces exposes the theory of Hewitt-Nachbin spaces, also called realcompact or Q-spaces, taking into account synergistic points of view from which these spaces are investigated. The publication first offers information on embedding in topological products and Hewitt-Nachbin spaces and convergence, including notation and terminology, embedding lemma, E-completely regular spaces, E-compact spaces, and characterizations and properties of Hewitt-Nachbin spaces. The text also touches on Hewitt-Nachbin spaces, uniformities, and related topological spaces, as well as Hewitt-Nachbin completeness and uniform spaces, review of uniform spaces, and almost realcompact and cb-spaces. The book takes a look at Hewitt-Nachbin completeness and continuous mappings. Discussions focus on classes of mappings, perfect mappings, WZ mappings, closed mappings and Hewitt-Nachbin spaces, and E-perfect mappings. The manuscript is a reliable reference for readers interested in Hewitt-Nachbin spaces.
E-bok
PDF, Engelska, 2016344 kr
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North-Holland Mathematics Studies, 14: Divisor Theory in Module Categories focuses on the principles, operations, and approaches involved in divisor theory in module categories, including rings, divisors, modules, and complexes. The book first takes a look at local algebra and homology of local rings. Discussions focus on Gorenstein rings, Euler characteristics of modules, Macaulay rings, Koszul complexes, Noetherian and coherent rings, flatness, and Fitting''s invariants. The text then explains divisorial ideals, including divisors, modules of dimension one, and higher divisorial ideals. The manuscript ponders on spherical modules and divisors and I-divisors. Topics include construction, Euler characteristics of Inj (A), change of rings and dimensions, spherical modules, resolutions and divisors, and elementary properties. The text is a valuable source of information for mathematicians and researchers interested in divisor theory in module categories.
E-bok
PDF, Engelska, 2016344 kr
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North-Holland Mathematics Studies, 15: Localization of Nilpotent Groups and Spaces focuses on the application of localization methods to nilpotent groups and spaces. The book first discusses the localization of nilpotent groups, including localization theory of nilpotent groups, properties of localization in N, further properties of localization, actions of a nilpotent group on an abelian group, and generalized Serre classes of groups. The book then examines homotopy types, as well as mixing of homotopy types, localizing H-spaces, main (pullback) theorem, quasifinite nilpotent spaces, localization of nilpotent complexes, and nilpotent spaces. The manuscript takes a look at the applications of localization theory, including genus and H-spaces, finite H-spaces, and non-cancellation phenomena. The publication is a vital source of data for mathematicians and researchers interested in the localization of nilpotent groups and spaces.
Häftad, Engelska, 2012
544 kr
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The present report on spaces of holomorphic mappings was prepared for the Sexto Coloquio Brasileiro de Matematica (Po~os de Caldas, Minas Gerais, Brazil, July 1967). I also had the oppor- tunity of giving a series of lectures on this material while I was a visiting member at the Center for Theoretical Studies of the University of Miami (Coral Gables, Florida, USA, February 1968). The preparation of this report was sponsored in part by the USA National Science Foundation through a grant to the University of Rochester. I am glad to thank Professors Paul R. Halmos and Peter J. Hilton for accepting my text as part of the series Ergebnisse der Mathematik und ihre Grenzgebiete. Rochester, New York 1968 Leopoldo Nachbin Contents 1. Introduction. 1 2. Notation and Terminology 4 3. Continuous Polynomials 6 4. Convergent Power Series 11 5. Holomorphic Mappings. 16 6. The Cauchy Integral 20 7. Convergence of Taylor Series. 26 8. Topology on the Space of all Holomorphic Mappings 31 9. Holomorphy Types. 34 10. Differentiation of Holomorphy Types . 38 II. Topology on Spaces of Holomorphic Mappings. 43 12. Bounded Subsets. 49 13. Relatively Compact Subsets . 54 14.The Current Holomorphy Type 59 15. Bibliographical References. 62 Subject Index 65 1.