Download E-books Homotopical Topology (Graduate Texts in Mathematics) PDF

This textbook on algebraic topology updates a well-liked textbook from the golden period of the Moscow tuition of I. M. Gelfand. the 1st English translation, performed many many years in the past, is still greatly favourite, even though it has been lengthy out-of-print and is tough to procure. accordingly, this up-to-date English variation might be a lot welcomed by means of the mathematical group. distinct beneficial properties of this publication comprise: a concise yet totally rigorous presentation, supplemented via a plethora of illustrations of a excessive technical and creative quality; a major variety of nontrivial examples and computations performed intimately; a deeper and broader remedy of issues compared to so much starting books on algebraic topology; an intensive, and extremely concrete, therapy of the equipment of spectral sequences. the second one variation comprises a wholly new bankruptcy on K-theory and the Riemann-Roch theorem (after Hirzebruch and Grothendieck).

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