2001, ISBN: 9783540003625
A number of important results in combinatorics, discrete geometry, and theoretical computer science have been proved using algebraic topology. While the results are quite famous, their pr… Mehr…
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Using the Borsuk-Ulam Theorem: Lectures on Topological Methods in Combinatorics and Geometry (Universitext) - Taschenbuch
2008, ISBN: 9783540003625
Springer Berlin Heidelberg, Taschenbuch, Auflage: Softcover reprint of the original 1st ed. 2003, 226 Seiten, Publiziert: 2008-10-10T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: XII, 2… Mehr…
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2003, ISBN: 3540003622
2003 Kartoniert / Broschiert Kombinatorik, Topologie - Differenzialtopologie, Mathematik, Diskrete Mathematik, Theoretische Informatik, Mathematik für Informatiker, applications of alge… Mehr…
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ISBN: 9783540003625
Paperback, [PU: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG], To the uninitiated, algebraic topology might seem fiendishly complex, but its utility is beyond doubt. No prior knowl… Mehr…
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2003, ISBN: 9783540003625
Taschenbuch
Lectures on Topological Methods in Combinatorics and Geometry, Buch, Softcover, 1., st ed. 2003, [PU: Springer Berlin], Springer Berlin, 2003
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2001, ISBN: 9783540003625
A number of important results in combinatorics, discrete geometry, and theoretical computer science have been proved using algebraic topology. While the results are quite famous, their pr… Mehr…
Matousek, Jiri:
Using the Borsuk-Ulam Theorem: Lectures on Topological Methods in Combinatorics and Geometry (Universitext) - Taschenbuch2008, ISBN: 9783540003625
Springer Berlin Heidelberg, Taschenbuch, Auflage: Softcover reprint of the original 1st ed. 2003, 226 Seiten, Publiziert: 2008-10-10T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: XII, 2… Mehr…
Using the Borsuk-Ulam Theorem Lectures on Topological Methods in Combinatorics and Geometry - neues Buch
2003
ISBN: 3540003622
2003 Kartoniert / Broschiert Kombinatorik, Topologie - Differenzialtopologie, Mathematik, Diskrete Mathematik, Theoretische Informatik, Mathematik für Informatiker, applications of alge… Mehr…
ISBN: 9783540003625
Paperback, [PU: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG], To the uninitiated, algebraic topology might seem fiendishly complex, but its utility is beyond doubt. No prior knowl… Mehr…
2003, ISBN: 9783540003625
Taschenbuch
Lectures on Topological Methods in Combinatorics and Geometry, Buch, Softcover, 1., st ed. 2003, [PU: Springer Berlin], Springer Berlin, 2003
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Detailangaben zum Buch - Using the Borsuk-Ulam Theorem: Lectures on Topological Methods in Combinatorics and Geometry (Universitext)
EAN (ISBN-13): 9783540003625
ISBN (ISBN-10): 3540003622
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2003
Herausgeber: Springer Berlin Heidelberg
214 Seiten
Gewicht: 0,334 kg
Sprache: ger/Deutsch
Buch in der Datenbank seit 2007-06-05T15:36:33+02:00 (Berlin)
Detailseite zuletzt geändert am 2024-04-06T20:46:53+02:00 (Berlin)
ISBN/EAN: 3540003622
ISBN - alternative Schreibweisen:
3-540-00362-2, 978-3-540-00362-5
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: jiri, matousek, mato, günter anders, günter ziegler, günter forth, springer berlin heidelberg, borsuk
Titel des Buches: lectures, topological, using geometry, borsuk ulam, ula, combinatorics first course, topologie
Daten vom Verlag:
Autor/in: Jiri Matousek
Titel: Universitext; Using the Borsuk-Ulam Theorem - Lectures on Topological Methods in Combinatorics and Geometry
Verlag: Springer; Springer Berlin
214 Seiten
Erscheinungsjahr: 2003-04-17
Berlin; Heidelberg; DE
Sprache: Englisch
76,99 € (DE)
BC; Hardcover, Softcover / Mathematik/Sonstiges; Diskrete Mathematik; Verstehen; Combinatorics; applications of algebraic topology; discrete geometry; algebra; algebraic topology; combinatorial geometry; combinatorics; computer; computer science; geometry; homology; Homotopy; mathematics; proof; theorem; theoretical computer science; topology; Discrete Mathematics; Algebraic Topology; Discrete Mathematics in Computer Science; Theory of Computation; Mathematics; Algebraische Topologie; Mathematik für Informatiker; Theoretische Informatik; Mathematik; EA
Preliminaries.- 1 Simplicial Complexes: 1.1 Topological spaces; 1.2 Homotopy equivalence and homotopy; 1.3 Geometric simplicial complexes; 1.4 Triangulations; 1.5 Abstract simplicial complexes; 1.6 Dimension of geometric realizations; 1.7 Simplicial complexes and posets.- 2 The Borsuk-Ulam Theorem: 2.1 The Borsuk-Ulam theorem in various guises; 2.2 A geometric proof; 2.3 A discrete version: Tucker's lemma; 2.4 Another proof of Tucker's lemma.- 3 Direct Applications of Borsuk--Ulam: 3.1 The ham sandwich theorem; 3.2 On multicolored partitions and necklaces; 3.3 Kneser's conjecture; 3.4 More general Kneser graphs: Dolnikov's theorem; 3.5 Gale's lemma and Schrijver's theorem.- 4 A Topological Interlude: 4.1 Quotient spaces; 4.2 Joins (and products); 4.3 k-connectedness; 4.4 Recipes for showing k-connectedness; 4.5 Cell complexes.- 5 Z_2-Maps and Nonembeddability: 5.1 Nonembeddability theorems: An introduction; 5.2 Z_2-spaces and Z_2-maps; 5.3 The Z_2-index; 5.4 Deleted products good ...; 5.5 ... deleted joins better; 5.6 Bier spheres and the Van Kampen-Flores theorem; 5.7 Sarkaria's inequality; 5.8 Nonembeddability and Kneser colorings; 5.9 A general lower bound for the chromatic number.- 6 Multiple Points of Coincidence: 6.1 G-spaces; 6.2 E_nG spaces and the G-index; 6.3 Deleted joins and deleted products; 6.4 Necklace for many thieves; 6.5 The topological Tverberg theorem; 6.6 Many Tverberg partitions; 6.7 Z_p-index, Kneser colorings, and p-fold points; 6.8 The colored Tverberg theorem.- A Quick Summary.- Hints to Selected Exercises.- Bibliography.- Index.Weitere, andere Bücher, die diesem Buch sehr ähnlich sein könnten:
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9783540766490 Using the Borsuk-Ulam Theorem: Lectures on Topological Methods in Combinatorics and Geometry (Universitext) (English Edition) (Matousek, Jiri)
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