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Titlebook: Simplicial Homotopy Theory; Paul G. Goerss,John F. Jardine Book 1999 Springer Basel AG 1999 Algebraic K-theory.Algebraic topology.Homologi

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Paul G. Goerss,John F. Jardineisnahe Arbeitsanleitungen.Enthält die wichtigsten Analysenve.Die Lebensmittelanalytik bildet als angewandte Wissenschaft die Basis zur Untersuchung und Beurteilung von Qualität und Sicherheit unserer Lebensmittel. Das Anleitungs- und Praktikumsbuch beschreibt grundlegende und fortgeschrittene Unters
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Paul G. Goerss,John F. Jardineisnahe Arbeitsanleitungen.Enthält die wichtigsten Analysenve.Die Lebensmittelanalytik bildet als angewandte Wissenschaft die Basis zur Untersuchung und Beurteilung von Qualität und Sicherheit unserer Lebensmittel. Das Anleitungs- und Praktikumsbuch beschreibt grundlegende und fortgeschrittene Unters
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Simplicial sets,of simplicial sets has a homotopical structure in the sense that it admits the structure of a closed model category (Theorem 11.3), and to show that the resulting homotopy theory is equivalent in a strong sense to the ordinary homotopy theory of topological spaces (Theorem 11.4). Insofar as simplici
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Model Categories,omotopy category is defined to be the result of formally inverting the weak equivalences within the ambient closed model category, but can be constructed in the CW-complex style by taking homotopy classes of maps between objects which are fibrant and cofibrant. These topics are presented in the firs
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Cosimplicial spaces: applications,sfield and Kan [14] and has been further analyzed by Bousfield [10]. Two of the standard examples include the Bousfield-Kan spectral sequence — an unstable Adams spectral sequence that arose before the general example [7] — and the spectral sequence for computing the homotopy groups of the homotopy
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Localization, respect to a homology theory, localization with respect to a map as pioneered by Bousfield, Dror-Farjoun and elaborated on by many others, and even the formation of the stable homotopy category. We will touch on all three of these subjects, but we also have another purpose. There is a body of extre
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Simplicial functors and homotopy coherence,ssertion that simplicial functors of the form . : . → . are equivalent to diagrams of the form . → . in the case where . is a resolution of the category .. The proof of this theorem uses simplicial model structures for categories of simplicial functors, given in Section 1, and then the result itself is proved in Section 2.
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