Titlebook: Combinatorial Algebraic Topology; Dmitry Kozlov Textbook 20081st edition Springer-Verlag Berlin Heidelberg 2008 Algebraic topology.Charact

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Combinatorial Complexes Melangeis purely combinatorial. In this chapter we survey many different situations in which complexes defined by combinatorial data arise. While a certain attempt to structure this set of examples is taken, a complete classification is impossible, due to the nature of the subject.

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Spectral Sequencesoduction, which is aimed at setting up the notation and at helping the reader to develop intuition. Our presentation will be purely algebraic, using the topological picture only as a source for the algebraic gadgets.

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Chromatic Numbers and the Kneser Conjectureathematics and algebraic topology, whose solutions benefit from the interaction of the two fields. Usually, this implies constructing a topological space starting with a discrete object as an input, or, conversely, providing a discrete model for an already existing geometric or topological setting.

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