J. Frank Adams, the founder of stable homotopy theory, gave a lecture series at the and complex cobordism, and stable homotopy and generalized homology. Stable homotopy and generalized homology. Front Cover. John Frank Adams. University of Chicago Press, – Mathematics – pages. Stable homotopy and generalised homology / J.F. Adam. Article with 37 John Frank Adams. Abstract Transfer in generalized sheaf cohomology. Article.
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Whitehead K-theory Kronecker product Lemma 17 manifold map f morphism morphism of degree obvious open pair ordinary homology orientation polynomial properties Proposition prove quotient R-module result ring-spectrum satisfies Similarly smash products spectra spectral sequence stable cells stable homotopy subcomplex Suppose given Susp X Tel X trivial universal coefficient theorem zero. A category of fractions The Brown-Peterson gejeralized My library Help Advanced Book Search.
Examples from algebraic topology 3.
Stable Homotopy and Generalised Homology
The three series focused on Novikov’s work on operations in complex cobordism, Quillen’s work on formal groups and complex cobordism, and stable homotopy and generalized homology. Behaviour of the Bott map The Novikov operations 6. What Adams tries to construct here — the localization of the stable homotopy category at the class of E Generalizex -equivalences — was later constructed by Bousfield A universal coefficient theorem Adams’s exposition of the first two topics played a vital role in setting the stage for modern work on homoropy phenomena in stable homotopy theory.
Peter MayMO comment. See at Bousfield localization of spectra. Also notice that on p.
Consists of three lectures, each meant to be readable on their own, and there is overlap in topics. The Steenrod algebra and its dual Stable Homotopy and Generalised Homology J.
Stable Homotopy and Generalised Homology – J. F. Adams, John Frank Adams – Google Books
My library Help Advanced Book Search. His exposition on the third topic occupies the bulk of the book and gives his definitive treatment of the Adams spectral sequence along with veneralized detailed examples and calculations in KU-theory that help give a feel for the subject.
Account Options Sign in. The inverse limit and its derived functors 9: Elementary properties of the category of CW-spectra 4: The Steenrod algebra and its dual The Gateway to the Pacific Meredith Oda.
Ingredients
Stable homotopy and generalized homology Chicago lectures in mathematics. Calculations in E-homology and cohomology 5: A category of fractions Popular passages Page – Homotopy groups of joins and unions, Trans.
For more information, or to order this book, please visit https: Billionaires and Stealth Politics Benjamin I. University of Chicago Press: There is much to love in his book, but not in the foundational part on CW spectra.
Stable homotopy and generalised homology in nLab
University of Chicago Press Amazon. Applications in K-theory Read, highlight, and take notes, across web, tablet, and phone. Jacob LurieChromatic Egneralized Theory You may purchase this title at these fine bookstores. May No preview available –