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

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Situation Recognition Using EventShopathematics 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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Algorithms and Computation in Mathematicshttp://image.papertrans.cn/c/image/229874.jpg

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https://doi.org/10.1007/978-94-024-1141-6fined complexes and with combinatorial operations on them. Yet the aspects of the theory that we consider here and that we distinguish under the title of this book are far from classical and have been brought to the attention of the general mathematical public fairly recently.

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Situation Awareness with Systems of Systemsis 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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Jan Tretmans,Piërre van de Laarhe more general framework of .. As we shall see in subsequent chapters, no additional difficulties will arise, so there is virtually no penalty to pay for this generality. On the contrary, the situation gets clarified and even simplified in some cases, for example, in dealing with quotients of complexes equipped with group actions in Chapter 14.