By Albrecht Dold

ISBN-10: 3540586601

ISBN-13: 9783540586609

Springer is reissuing a particular few hugely winning books in a brand new, reasonably cheap softcover version to cause them to simply available to more youthful generations of scholars and researchers. Springer-Verlag all started publishing books in larger arithmetic in 1920. it is a reprint of the second one Edition.

This is a booklet customarily approximately singular (co)homology. so as to do calculations on extra advanced gadgets, CW complexes are brought. The booklet concentrates on items and manifolds. it really is geared toward a graduate point viewers and in that context it truly is self contained. Homological algebra is built as much as the extent wanted within the textual content. there's a reasonable quantity of examples and workouts.

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Springer is reissuing a particular few hugely winning books in a brand new, reasonably cheap softcover variation to cause them to simply obtainable to more youthful generations of scholars and researchers. Springer-Verlag all started publishing books in greater arithmetic in 1920. it is a reprint of the second one Edition.

This is a e-book regularly approximately singular (co)homology. so that it will do calculations on extra complicated gadgets, CW complexes are brought. The booklet concentrates on items and manifolds. it truly is geared toward a graduate point viewers and in that context it's self contained. Homological algebra is built as much as the extent wanted within the textual content. there's a reasonable volume of examples and workouts.

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2. Once the calissons have been colored, they appear as a collection of cubes in the corner of a room with a square floor and square walls. Looking at the configuration from above we see just the top faces of the cubes, which of course cover the floor. The same is true if we view the configuration from one of the sides. , calissons, in each orientation is the same. 3 Using cubes to sum integers In this section we present a collection of identities concerning sums of positive integers (which we will call simply “numbers” in this section) and visual proofs using solids composed of unit cubes (cubes with volume 1).

Although all the faces of an icosahedron are triangles, it is intimately associated with the regular pentagon and the golden ratio. For two examples: the outermost edges of the five triangular faces surrounding a vertex are the edges of a regular pentagon; each pair of opposite edges is a pair of opposite edges of a golden rectangle, an a b rectangle with b=a D ' 1:618, the golden ratio. 10a we see a 1983 postage stamp issued by the German Democratic Republic with a faulty rendering of a regular icosahedron.

1. 1.

### Lectures on Algebraic Topology (Classics in Mathematics) by Albrecht Dold

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