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Titlebook: Homotopical Topology; Anatoly Fomenko,Dmitry Fuchs Textbook 2016Latest edition Springer International Publishing Switzerland 2016 CW compl

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Chapter 5: The Adams Spectral Sequence, groups. If we know the cohomology of the space ., we can find, relatively easily, the “stable part” of the cohomology of the first killing space of ., and then the same for the second, the third, and so on killing spaces. Hurewicz’s theorem gives us, every time, the corresponding homotopy group. Th
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Textbook 2016Latest editionetail; a deeper and broader treatment of topics in comparison to most beginning books on algebraic topology; an extensive, and very concrete, treatment of the machinery of spectral sequences. The second edition contains an entirely new chapter on K-theory and the Riemann-Roch theorem (after Hirzebruch and Grothendieck).
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Chapter 6: ,-Theory and Other Extraordinary Cohomology Theories,ith a readiness to do a huge amount of tedious work. To get these activities revived a radical method was needed. And it was found! It consisted of replacing cohomology as the basic homotopy invariant by an entirely new object, the so-called .-functor.
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978-3-319-79490-7Springer International Publishing Switzerland 2016
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