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Published **1970**
by University of Chicago] in [Chicago .

Written in English

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

**Edition Notes**

Other titles | Topology Year, University of Chicago, 1969-1970. |

Statement | [By] Larry Smith. Cobordism. [By] Gregory Brumfiel. |

Series | University of Chicago mathematics lecture notes, Mathematics lecture notes (University of Chicago. Dept. of Mathematics) |

Contributions | Brumfiel, Gregory W., University of Chicago. |

The Physical Object | |
---|---|

Pagination | 59, 11 1. |

Number of Pages | 59 |

ID Numbers | |

Open Library | OL22374222M |

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.

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