Lectures on Algebraic Topology - neues Buch
ISBN: 9783662007563
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ISBN: 9783662007563
This is essentially a book on singular homology and cohomology with special emphasis on products and manifolds. It does not treat homotopy theory except for some basic notions, some examp… Mehr…
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Lectures on Algebraic Topology - neues Buch
ISBN: 9783662007563
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Lectures on Algebraic Topology - neues Buch
ISBN: 9783662007563
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Lectures on Algebraic Topology - neues Buch
ISBN: 9783662007563
; PDF; Scientific, Technical and Medical > Mathematics > Topology > Algebraic topology, Springer Netherlands
hive.co.uk No. 9783662007563. Versandkosten:Instock, Despatched same working day before 3pm, zzgl. Versandkosten. Details... |
Lectures on Algebraic Topology - neues Buch
ISBN: 9783662007563
This is essentially a book on singular homology and cohomology with special emphasis on products and manifolds.It does not treat homotopy theory except for some basic notions, some exampl… Mehr…
ISBN: 9783662007563
This is essentially a book on singular homology and cohomology with special emphasis on products and manifolds. It does not treat homotopy theory except for some basic notions, some examp… Mehr…
Lectures on Algebraic Topology - neues Buch
ISBN: 9783662007563
*Lectures on Algebraic Topology* / pdf eBook für 85.49 € / Aus dem Bereich: eBooks, Fachthemen & Wissenschaft, Mathematik Medien > Bücher nein eBook als pdf eBooks > Fachthemen & Wissensc… Mehr…
Lectures on Algebraic Topology - neues Buch
ISBN: 9783662007563
Lectures on Algebraic Topology: ab 85.49 € eBooks > Fachthemen & Wissenschaft > Mathematik Springer Berlin Heidelberg eBook als pdf, Springer Berlin Heidelberg
Lectures on Algebraic Topology - neues Buch
ISBN: 9783662007563
; PDF; Scientific, Technical and Medical > Mathematics > Topology > Algebraic topology, Springer Netherlands
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Detailangaben zum Buch - Lectures on Algebraic Topology
EAN (ISBN-13): 9783662007563
Erscheinungsjahr: 2012
Herausgeber: Springer Berlin Heidelberg
Buch in der Datenbank seit 2017-04-25T06:44:17+02:00 (Berlin)
Detailseite zuletzt geändert am 2023-10-16T16:40:35+02:00 (Berlin)
ISBN/EAN: 9783662007563
ISBN - alternative Schreibweisen:
978-3-662-00756-3
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: albrecht, dold
Titel des Buches: lectures algebraic topology
Daten vom Verlag:
Autor/in: Albrecht Dold
Titel: Grundlehren der mathematischen Wissenschaften; Lectures on Algebraic Topology - A Series of Comprehensive Studies in Mathematics
Verlag: Springer; Springer Berlin
380 Seiten
Erscheinungsjahr: 2012-12-06
Berlin; Heidelberg; DE
Sprache: Englisch
85,59 € (DE)
88,00 € (AT)
106,50 CHF (CH)
Available
XI, 380 p.
EA; E107; eBook; Nonbooks, PBS / Mathematik/Geometrie; Algebraische Topologie; Verstehen; Algebraic; Algebraic topology; Homotopy; Topology; cohomology; group theory; homology; homotopy theory; C; Algebraic Topology; Mathematics and Statistics; BC
I Preliminaries on Categories, Abelian Groups, and Homotopy.- § 1 Categories and Functors.- § 2 Abelian Groups (Exactness, Direct Sums, Free Abelian Groups).- § 3 Homotopy.- II Homology of Complexes.- § 1 Complexes.- § 2 Connecting Homomorphism, Exact Homology Sequence.- § 3 Chain-Homotopy.- § 4 Free Complexes.- III Singular Homology.- § 1 Standard Simplices and Their Linear Maps.- § 2 The Singular Complex.- § 3 Singular Homology.- § 4 Special Cases.- § 5 Invariance under Homotopy.- § 6 Barycentric Subdivision.- § 7 Small Simplices. Excision.- § 8 Mayer-Vietoris Sequences.- IV Applications to Euclidean Space.- § 1 Standard Maps between Cells and Spheres.- § 2 Homology of Cells and Spheres.- § 3 Local Homology.- § 4 The Degree of a Map.- § 5 Local Degrees.- § 6 Homology Properties of Neighborhood Retracts in ?n.- § 7 Jordan Theorem, Invariance of Domain.- § 8 Euclidean Neighborhood Retracts (ENRs).- V Cellular Decomposition and Cellular Homology.- § 1 Cellular Spaces.- § 2 CW-Spaces.- § 3 Examples.- § 4 Homology Properties of CW-Spaces.- § 5 The Euler-Poincaré Characteristic.- § 6 Description of Cellular Chain Maps and of the Cellular Boundary Homomorphism.- § 7 Simplicial Spaces.- § 8 Simplicial Homology.- VI Functors of Complexes.- § 1 Modules.- § 2 Additive Functors.- § 3 Derived Functors.- § 4 Universal Coefficient Formula.- § 5 Tensor and Torsion Products.- § 6 Horn and Ext.- § 7 Singular Homology and Cohornology with General Coefficient Groups.- § 8 Tensorproduct and Bilinearity.- § 9 Tensorproduct of Complexes. Künneth Formula.- § 10 Horn of Complexes.Homotopy Classification of Chain Maps.- § 11 Acyclic Models.- § 12 The Eilenberg-Zilber Theorem. Künneth Formulas for Spaces.- VII Products.- § 1 The Scalar Product.-§ 2 The Exterior Homology Product.- § 3 The Interior Homology Product (Pontrjagin Product).- § 4 Intersection Numbers in ?n.- § 5 The Fixed Point Index.- § 6 The Lefschetz-Hopf Fixed Point Theorem.- § 7 The Exterior Cohomology Product.- § 8 The Interior Cohomology Product (?-Product).- § 9 ?-Products in Projective Spaces. Hopf Maps and Hopf Invariant.- § 10 Hopf Algebras.- § 11 The Cohomology Slant Product.- § 12 The Cap-Product (?-Product).- § 13 The Homology Slant Product, and the Pontrjagin Slant Product.- VIII Manifolds.- § 1 Elementary Properties of Manifolds.- § 2 The Orientation Bundle of a Manifold.- § 3 Homology of Dimensions ? n in n-Manifolds.- § 4 Fundamental Class and Degree.- § 5 Limits.- § 6 ?ech Cohomology of Locally Compact Subsets of ?n.- § 7 Poincaré-Lefschetz Duality.- § 8 Examples, Applications.- § 9 Duality in ?-Manifolds.- § 10 Transfer.- § 11 Thom Class, Thom Isomorphism.- § 12 The Gysin Sequence. Examples.- § 13 Intersection of Homology Classes.- Appendix Kan- and ?ech-Extensions of Functors.- § 1 Limits of Functors.- § 2 Polyhedrons under a Space, and Partitions of Unity.- § 3 Extending Functors from Polyhedrons to More General Spaces.Weitere, andere Bücher, die diesem Buch sehr ähnlich sein könnten:
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