9783540586609 - Lectures on Algebraic Topology Classics in Mathematics by Dold, Albrecht; Dold, a (14 results)

23 cm. original paperback. xii,378 pp. some ills. bibliography. index. "Classics in Mathematics". -(very) good. 605g.

Condition: very good. Gut/Very good: Buch bzw. Schutzumschlag mit wenigen Gebrauchsspuren an Einband, Schutzumschlag oder Seiten. / Describes a book or dust jacket that does show some signs of wear on either the binding, dust jacket or pages.

Condition: New. pp. xi + 400 2nd Edition.

Condition: New. In.

Condition: New. pp. xi + 400.

PF. Condition: New.

Paperback. Condition: Brand New. reprint of the 2nd ed. new york, heidelberg, berli edition. 391 pages. German language. 9.00x6.00x1.00 inches. In Stock.

Softcover. Condition: Gut. Gebraucht - Gut Zustand: Gut, Mängelexemplar, XIII, 377 pp. 10 figs. About this book: Springer-Verlag began publishing books in higher mathematics in 1920, when the series Grundlehren der mathematischen Wissenschaften, initially conceived as a series of advanced textbooks, was founded by Richard Courant. A few years later, a new series Ergebnisse der Mathematik und Ihrer Grenzgebiete, survey reports of recent mathematical research, was added. Of over 400 books published in these series, many have become recognized classics and remain standard references for their subject. Springer is reissueing a selected few of these highly successful books in a new, inexpensive softcover edition to make them easily accessible to younger generations of students and researchers. Written for graduate students and researchers.

Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Springer is reissuing a selected few highly successful books in a new, inexpensive softcover edition to make them easily accessible to younger generations of students and researchers. Springer-Verlag began publishing books in higher mathematics in 1920. This is a reprint of the Second Edition.

paperback. Condition: New. In shrink wrap. Looks like an interesting title!

Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Springer is reissuing a selected few highly successful books in a new, inexpensive softcover edition to make them easily accessible to younger generations of students and researchers. Springer-Verlag began publishing books in higher mathematics in 1920. This is a reprint of the Second Edition. 396 pp. Englisch.

Condition: New. PRINT ON DEMAND pp. xi + 400.

Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Albrecht Dold was born on August 5, 1928 in Triberg (Black Forest), Germany. He studied mathematics and physics at the University of Heidelberg, then worked for some years at the Institute for Advanced Study in Princeton, at Columbia University, New York.

Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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 HomologyProperties 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 Cohomology 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. Kunneth Formulas for Spaces.- VII Products.- 1 The Scalar Product.- 2 The Exterior Homology Product.- 3 The Interior Homology Product (Pontijagin 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 Pontijagin 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.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 396 pp. Englisch.