Lectures on complex bordism of finite complexes.
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Lectures on complex bordism of finite complexes. Applications to stable homotopy theory. by Larry Smith

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Published by University of Chicago] in [Chicago .
Written in English


  • Homology theory.,
  • Complexes.,
  • Differential topology.,
  • Cobordism theory.

Book details:

Edition Notes

Other titlesTopology Year, University of Chicago, 1969-1970.
Statement[By] Larry Smith. Cobordism. [By] Gregory Brumfiel.
SeriesUniversity of Chicago mathematics lecture notes, Mathematics lecture notes (University of Chicago. Dept. of Mathematics)
ContributionsBrumfiel, Gregory W., University of Chicago.
The Physical Object
Pagination59, 11 1.
Number of Pages59
ID Numbers
Open LibraryOL22374222M

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Conner, Pierre E.; Smith, Larry. On the complex bordism of finite complexes. Publications Mathématiques de l'IHÉS, Tome 37 (), pp. Cited by: Complex cobordism of involutions Strickland, N P, Geometry & Topology, ; Bordism groups of solutions to differential relations Sadykov, Rustam, Algebraic & Geometric Topology, ; A note on cobordisms of algebraic knots Bodnár, József, Celoria, Daniele, and Golla, Marco, Algebraic & Geometric Topology, ; Annihilator ideals and primitive elements in complex bordism Landweber, Peter Cited by: 9. equating the Lazard and complex cobordism rings. Landweber and Novikov’s theo-rem on the structure of MU∗(MU). The Brown-Peterson spectrum BP. Quillen’s idempotent operation and p-typical formal group laws. The structure of BP∗(BP). 2. A Survey of BP-Theory Bordism groups of spaces. The Sullivan–Baas construction. The Johnson–. [SY] N. Shimada and N. Yagita, Multiplications in complex bordism theory with singularities, Publ. Res. Inst. Math. Sei. 12 (), [Si] K. Sinkinson, The cohomology of certain spectra associated with the Brown-Peterson spectrum, Duke Math. J. 43 (), [SmJ L. Smith, On the complex bordism offinite complexes, Proc. Advanced.

The concept of bordism was rst introduced by R. Thom in [24]. Bordism is an equivalence relation. The only non-trivial point to check is transitivity, which requires some knowledge of di erential topology. Definition We de ne the unoriented bordism group of X, de-noted N n(X), to be the set of all isomorphism classes of singular n-manifolds. Conner, P. E., Smith, L.: On the complex bordism of finite complexes. I.H.E.S. Journal de Mathematiques, No, (). Google Scholar. This book is a revised version of my PhD Thesis [5], supervised by Gabriel h-Regular CW-Complexes and Their Associated Finite Spaces.. 93 Quotients of Finite Spaces: An Exact Sequence order complex) which has the same weak homotopy type as X, and, for each.   A clause complex is defined as a grammatical construction consisting of two or more (simplex) clauses and accounts for examples like the following (1–10) (see Halliday and Matthiessen on "basic types of clause complexes"; an explanation of the use of Arabic numbers and Greek letters follows on the next page): (1).

The universality of equivariant complex bordism Michael Cole 1, J.P.C. Greenlees 2, I. Kriz 3 1 Department of Mathematics, Hofstra University, Hempstead, NY , USA.   Abstract In “On the Conflict of Bordism of Finite Complexes” [ J. Differential Geometry ], Conner and Smith introduced a homomorphism called the Todd character, relating complex bordism theory to rational homology. Specifically the Todd character consists of a family of homomorphisms th r: MU s (X) → H s→r (X; Q). The complex bordism of groups with periodic cohomology. P. E. Conner and Larry Smith, On the complex bordism of finite complexes, Inst. Hautes Études Sci. Publ. Math. 37 McGraw-Hill Book Co., New York-London-Sydney, MR , Similar Articles. Retrieve articles in Transactions of the American Mathematical.   THE RELATION BETWEEN BORDISM AND K-THEORY Throughout this section G will denote a finite group of odd order, and all functors will be localized away from 2, that is, tensored with Z[1/2], unless otherwise indicated. In [17], Okonek related tom Dieck's unitary, "stable" G-bordism groups [20] to equivariant K-theory when G is abelian.