Last edited by Tahn
Thursday, May 7, 2020 | History

9 edition of Unstable homotopy from the stable point of view found in the catalog.

Unstable homotopy from the stable point of view

by R. James Milgram

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Published by Springer-Verlag in Berlin, New York .
Written in English

    Subjects:
  • Homotopy groups.,
  • Loop spaces.,
  • Adams spectral sequences.

  • Edition Notes

    Includes bibliographical references.

    Statement[by] R. James Milgram.
    SeriesLecture notes in mathematics,, 368, Lecture notes in mathematics (Springer-Verlag) ;, 368.
    Classifications
    LC ClassificationsQA3 .L28 no. 368, QA612.78 .L28 no. 368
    The Physical Object
    Pagination109 p.
    Number of Pages109
    ID Numbers
    Open LibraryOL5426548M
    ISBN 100387066551
    LC Control Number73021213

    All consumers are now in agreement: Mike's stable homotopy category is definitively the right one, up to equivalence. However, the really fanatical hare demands a good category even before passage to homotopy, with all of the modern bells and whistles. Following this line of thought, an entire stable homotopy category can be created. This category has many nice properties which are not present in the (unstable) homotopy category of spaces, following from the fact that the suspension functor becomes invertible. For example, the notion of cofibration sequence and fibration sequence are equivalent.

    At this point, the author makes the transition to the main subject matter of this book by describing the complex cobordism ring, formal group laws, and the Adams-Novikov spectral sequence. The applications of this and related techniques to the existence of infinite families of elements in the stable homotopy groups of spheres are then indicated. STABLE ALGEBRAIC TOPOLOGY, – J. P. MAY Contents 1. Setting up the foundations 3 2. The Eilenberg-Steenrod axioms 4 3. Stable and unstable homotopy groups 5 4. Spectral sequences and calculations in homology and homotopy 6 5. Steenrod operations, K(π,n)’s, and characteristic classes 8 6. The introduction of cobordism 10 7.

    Download PDF: Sorry, we are unable to provide the full text but you may find it at the following location(s): (external link)Author: R James Milgram. I am particularly interested in the stable/unstable Adams' spectral sequence but the source need not take that as a goal. As an aside I'll point out that notes from Hatcher in his unfinished book on spectral sequences has a short but nice, clear and concrete introduction to spectra. It does not go into the detail and depth I need.


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Unstable homotopy from the stable point of view by R. James Milgram Download PDF EPUB FB2

Unstable Homotopy from the Stable Point of View. Authors; R. James Milgram; Book. 17 Citations; 3 Mentions; k Downloads; Part of the Lecture Notes in Mathematics book series (LNM, volume ) Log in to check access. Buy eBook. USD Some calculations of the stable homotopy groups for the K(Z,n) R.

James Milgram. Pages Unstable homotopy from the stable point of view. Berlin, New York, Springer-Verlag, (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: R James Milgram. Unstable homotopy from the stable point of view. [R James Milgram] Print book: EnglishView all editions and formats: Rating: (not yet rated) 0 with reviews - Be the Calculating the groups.- Calculations of the stable homotopy of K(?,n)'s.- Some calculations of the stable homotopy groups for the K(Z,n).- An example for the metastable.

Get this from a library. Stable and unstable homotopy. [William G Dwyer;] -- This volume presents the proceedings of workshops on stable homotopy theory and on unstable homotopy theory held at The Fields Institute as part of the homotopy program during the year The.

Periodic Unstable Homotopy Theory Computation of ˇ K((2)S 3) Unstable Homotopy Theory from the Chromatic Point of View Guozhen Wang MIT Ap Guozhen Wang Unstable Homotopy Theory from the Chromatic Point of View.

Guozhen Wang Unstable Homotopy Theory from the Chromatic Point of View. The EHP Sequence. This volume presents the proceedings of workshops on stable homotopy theory and on unstable homotopy theory held at The Fields Institute as part of the homotopy program during the year The papers in the volume describe current research in the subject, and all included works were refereed.

The beginning graduate student in homotopy theory is confronted with a vast literature on spectra that is scattered across books, articles and decades. There is much folklore but very few easy entry points.

This comprehensive introduction to stable homotopy theory changes that. Unstable Homotopy from the Stable Point of View. 点击放大图片 出版社: Springer.

作者: Milgram, J. 出版时间: 年02月25 日. 10位国际标准书号: 13位国际标准 Unstable Homotopy from the Stable Point of View 英文书摘要. Introduction to unstable homotopy theory 5 Neisendorfer also introduced a homotopy Bockstein spectral sequence to study the order of torsion elements in the classical homotopy groups.

With few exceptions, the first applications of homotopy groups with coefficients will be to the simple situation where the the Hurewicz homomorphism is an. Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields.

It only takes a minute to sign up. Book on stable homotopy theory. Ask Question Asked 1 year, 4 months ago. $\begingroup$ I was at this point a couple of months ago. The most modern and thorough treatment of unstable homotopy theory available.

The focus is on those methods from algebraic topology which are needed in the presentation of results, proven by Cohen, Moore, and the author, on the exponents of homotopy : Joseph Neisendorfer. Stable homotopy theory John Rognes May 4th Contents 1 Smooth bordism 2 9 Stable equivariant homotopy theory 74 xMˆRk+n gives a point g(x) 2Gr n(Rk+n) in the Grass-mannian manifold of n-planes in Rk+n.

Get a Gauss map g: M!Gr n(Rk+n) covered by a bundle map. invariants of Hilton, James, and Toda; Samelson products; homotopy Bockstein spectral sequences; graded Lie algebras; di erential homological algebra; and the exponent theorems concerning the homotopy groups of spheres and Moore spaces.

This book is suitable for a course in unstable homotopy theory, following a rst course in homotopy theory. COVID Resources. Reliable information about the coronavirus (COVID) is available from the World Health Organization (current situation, international travel).Numerous and frequently-updated resource results are available from this ’s WebJunction has pulled together information and resources to assist library staff as they consider how to handle coronavirus.

A homotopy fixed point is such a map, and ordinary fixed points determine homotopy fixed points. The Sullivan fixed point conjecture asserts that the mapping of ordinary fixed points to homotopy fixed points is a homotopy equivalence, and this conjecture is one of the main topics of the by: Electronic books: Additional Physical Format: Print version: Milgram, R.

James. Unstable homotopy from the stable point of view. Berlin, New York, Springer-Verlag, (DLC) (OCoLC) Material Type: Document, Internet resource: Document Type: Internet Resource, Computer File: All Authors / Contributors: R James Milgram.

Milgram R.J. () Calculations of the stable homotopy of K(π,n)'s. In: Unstable Homotopy from the Stable Point of View. Lecture Notes in Mathematics, vol Cite this chapter as: Milgram R.J. () An unstable adams spectral sequence. In: Unstable Homotopy from the Stable Point of View.

Lecture Notes in Mathematics, vol   Cite this chapter as: Milgram R.J. () The cohomology of the F : Unstable Homotopy from the Stable Point of View. Lecture Notes in Mathematics, vol   Cite this chapter as: Milgram R.J.

() Introduction. In: Unstable Homotopy from the Stable Point of View. Lecture Notes in Mathematics, vol. Unstable Modules over the Steenrod Algebra and Sullivan's Fixed Point Set Conjecture (Chicago Lectures in Mathematics) From an equivariant point of view, a homotopy fixed point is a set of maps equivariant under the integers modulo 2 (Z/2) from the "antipodal" sphere (i.e the ordinary sphere provided with the antipodal action) to a finite Z.This entry is a detailed introduction to stable homotopy theory, hence to the stable homotopy category and to its key computational tool, the Adams spectral that end we introduce the modern tools, such as model categories and highly structured ring the accompanying seminar we consider applications to cobordism theory and complex oriented cohomology such as to converge in.EQUIVARIANT STABLE HOMOTOPY THEORY J.P.C.

GREENLEES AND J.P. MAY Contents Introduction 1 1. Equivariant homotopy 2 2. The equivariant stable homotopy category 10 3.

Homology and cohomology theories and fixed point spectra 15 4. Change of groups and duality theory 20 5. Mackey functors, K(M,n)’s, and RO(G)-graded cohomology 25 6.