J. Frank Adams, the founder of stable homotopy theory, gave a lecture series at the University of Chicago in 1967, 1970, and 1971, the well-written notes of which are published in this classic in algebraic topology. The three series focused on Novikov's work on operations in complex cobord...
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Stable homotopy theoryFormal group lawHopf algebroidAdams-Novikov spectral sequence2010]16S3613F20,11C08In this survey we describe some ways in which algebras of integer-valued polynomials arise in stable homotopy theory and in the study of formal group laws. For several generalized homology theories...
An interpolation between homology and stable homotopy”, preprint April 98 - KallelS. Kallel, "An interpolation between homology and stable homotopy", preprint April 98.Kallel S., An interpolation between homology and stable homo- topy., preprint....
Neeman, A. Stable homotopy as a triangulated functor.Invent Math109, 17–40 (1992). https://doi.org/10.1007/BF01232016 Download citation Issue DateDecember 1992 DOIhttps://doi.org/10.1007/BF01232016 Share this article Anyone you share the following link with will be able to read this content...
This milder notion of twisting leads to twisted generalized homology and cohomology and is central to the well established field of parametrized stable homotopy theory. Part II of this thesis concerns a computational problem in parametrized stable homotopy, namely the determination of the twisted K-...
S. MacLane Homology Springer-Verlag, Berlin (1963) Google Scholar 38. J.W. Milnor Construction of universal bundles: I Ann. of Math., 63 (1956), pp. 272-284 CrossrefGoogle Scholar 39. J.W. Milnor On spaces having the homotopy type of a CW-complex Trans. Amer. Math. Soc., 90 (...
The stable homotopy theory demands a category in which to work. One may set up the ordinary Adams spectral sequence ad hoc, as Adams did, but it would be ugly at best to set up the Adams spectral sequence based on a generalized homology theory that way....
These properties enable us to analyze neatly the behavior of the noncommutative stable (co)homotopy groups with respect to certain (co)limits. Along the way we obtain infinity categorical models for some well-known bivariant homology theories like KK-theory, E-theory, and connective E-theory via...
PAN JianZhongZHU ZhongJian中国科学:数学(英文版)Pan J Z, Zhu Z J. Stable homotopy classification of A4n-polyhedra with 2-torsion free homology. Science China Mathematics, 2016, 59.6: 1141-1162