Rokhlin V A (40 results)

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paperback. Condition: fine. 6 1/2 x 9 1/2 " 519 pages. translated from the Russian by A. Iacob. part of the Universitext series. "In these lectures we presented an introduction to the fundamental topics of topology: homology theory, homotopy theory, theory of bundles, and topology of manifolds. The structure of the course was well determined by the guiding term elementary topology, whose main significance reside in the fact that it made us use a rather simple apparatus.".…

Topology II : Homotopy and Homology. Classical Manifolds
Fuchs, D. B.; Viro, O. Ya.; Rokhlin, V. A. (EDT); Novikov, S. P. (EDT); Shaddock, C. (TRN)
Language: English
Published by Springer, 2010
Series: Book 30 of 47 - Encyclopaedia of Mathematical Sciences
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Topology II: Homotopy and Homology. Classical Manifolds (Encyclopaedia of Mathematical Sciences, 24)
Language: English
Published by Springer, 2010
Series: Book 30 of 47 - Encyclopaedia of Mathematical Sciences
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Karton Karton. Condition: Sehr gut. 257 Seiten, mit Abbildungen, Zust: Gutes Exemplar. Schneller Versand und persönlicher Service - jedes Buch händisch geprüft und beschrieben - aus unserem Familienbetrieb seit über 25 Jahren. Eine Rechnung mit ausgewiesener Mehrwertsteuer liegt jeder unserer Lieferungen bei. Wir versenden mit der deutschen Post. Sprache: Englisch Gewicht in Gramm: 510.…

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Language: English
Published by Springer Spektrum, 2010
Series: Book 30 of 47 - Encyclopaedia of Mathematical Sciences
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - to Homotopy Theory O. Ya. Viro, D. B. Fuchs Translated from the Russian by C. J. Shaddock Contents Chapter 1. Basic Concepts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41. Terminology and Notations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1. 1. Set Theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1. 2. Logical Equivalence . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1. 3. Topological Spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1. 4. Operations on Topological Spaces . . . . . . . . . . . . . . . . . . . . . . . . . 5 1. 5. Operations on Pointed Spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82. Homotopy . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 2. 1. Homotopies . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 2. 2. Paths . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 2. 3. Homotopy as a Path . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 2. 4. Homotopy Equivalence . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 2. 5. Retractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 2. 6. Deformation Retractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 2. 7. Relative Homotopies . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 2. 8. k-connectedness . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 2. 9. Borsuk Pairs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 2. 10. CNRS Spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 2. 11. Homotopy Properties of Topological Constructions . . . . . . . . . . . 15 2. 12. Natural Group Structures on Sets of Homotopy Classes . . . . . . . . 163. Homotopy Groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 3. 1. Absolute Homotopy Groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 2 O. Ya. Viro, D. B. Fuchs 3. 2. Digression: Local Systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 3. 3. Local Systems of Homotopy Groups of a Topological Space . . . . 23 3. 4. Relative Homotopy Groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 3. 5. The Homotopy Sequence of a Pair . . . . . . . . . . . . . . . . . . . . . . . . . 28 3. 6. Splitting . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 3. 7. The Homotopy Sequence of a Triple . . . . . . . . . . . . . . . . . . . . . . . 32 Chapter 2. Bundle Techniques . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 334. Bundles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 4. 1. General Definitions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 4. 2. Locally Trivial Bundles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34 4. 3. Serre Bundles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36 4. 4. Bundles of Spaces of Maps . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 375. Bundles and Homotopy Groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38 5. 1. The Local System of Homotopy Groups of the Fibres of a Serre Bundle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . …

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Language: English
Published by Springer, 2010
Series: Book 30 of 47 - Encyclopaedia of Mathematical Sciences
- Softcover
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- Softcover
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book is the result of reworking part of a rather lengthy course of lectures of which we delivered several versions at the Leningrad and Moscow Universities. In these lectures we presented an introduction to the fundamental topics of topology: homology theory, homotopy theory, theory of bundles, and topology of manifolds. The structure of the course was well determined by the guiding term elementary topology, whose main significance resides in the fact that it made us use a rather simple apparatus. tn this book we have retained {hose sections of the course where algebra plays a subordinate role. We plan to publish the more algebraic part of the lectures as a separate book. Reprocessing the lectures to produce the book resulted in the profits and losses inherent in such a situation: the rigour has increased to the detriment of the intuitiveness, the geometric descriptions have been replaced by formulas needing interpretations, etc. Nevertheless, it seems to us tha t the book retains the main qualities of our lectures: their elementary, systematic, and pedagogical features. The preparation of the reader is assumed to be limi ted to the usual knowledge of set theory, algebra, and calculus which mathematics students should master after the first year and a half of studies. The exposition is accompanied by examples and exercises. We hope that the book can be used as a topology textbook.…

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Topology II
Fuchs, D.B.; Viro, O.Ya.; Rokhlin, V.A. [Editor]; Novikov, S.P. [Editor]; Shaddock, C. [Translator];
- Hardcover
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More imagesLanguage: English
Published by Springer, 2010
Series: Book 30 of 47 - Encyclopaedia of Mathematical Sciences
- Softcover
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Taschenbuch. Condition: Neu. Topology II | Homotopy and Homology. Classical Manifolds | D. B. Fuchs (u. a.) | Taschenbuch | Encyclopaedia of Mathematical Sciences | x | Englisch | 2010 | Springer | EAN 9783642080845 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.…

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Topology II: Homotopy and Homology. Classical Manifolds (Encyclopaedia of Mathematical Sciences, 24)
Language: English
Published by Springer, 2010
Series: Book 30 of 47 - Encyclopaedia of Mathematical Sciences
- Softcover
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Topology II : Homotopy and Homology. Classical Manifolds
Fuchs, D. B.; Viro, O. Ya.; Rokhlin, V. A. (EDT); Novikov, S. P. (EDT); Shaddock, C. (TRN)
Language: English
Published by Springer, 2010
Series: Book 30 of 47 - Encyclopaedia of Mathematical Sciences
- Softcover
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Condition: gut. 2004. Topology II: Homotopy and Homology. Classical Manifolds (Encyclopaedia of Mathematical Sciences, 24, Band 2) In deutscher Sprache. pages.
Published by Springer Verlag., Berlin, Heidelberg, New York, Tokyo., 1984
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OKarton. With 17 Figures . XI, 519S. Erschien in der Reihe: Universitext. Guter Zustand. Size: Gr.-8°.