Implications in Morava $K$-Theory

Implications in Morava $K$-Theory
Author :
Publisher : American Mathematical Soc.
Total Pages : 118
Release :
ISBN-10 : 9780821823422
ISBN-13 : 0821823426
Rating : 4/5 (426 Downloads)

Book Synopsis Implications in Morava $K$-Theory by : Richard M. Kane

Download or read book Implications in Morava $K$-Theory written by Richard M. Kane and published by American Mathematical Soc.. This book was released on 1986 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper studies the mod 2 cohomology [italic]H*[italic]X of finite [italic]H-spaces. It is shown that when [italic]X is connected and simply connected then [italic]H*[italic]X has no indecomposables of even degree. As a consequence, [italic]H*([capital Greek]Omega[italic]X;[bold]Z) and [italic]K*[italic]X have no 2 torsion. The main result is proved by using Morava [script]K-theory.


Implications in Morava $K$-Theory Related Books

Implications in Morava $K$-Theory
Language: en
Pages: 118
Authors: Richard M. Kane
Categories: K-theory
Type: BOOK - Published: 1986 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

This paper studies the mod 2 cohomology [italic]H*[italic]X of finite [italic]H-spaces. It is shown that when [italic]X is connected and simply connected then [
Algebraic Topology. Poznan 1989
Language: en
Pages: 404
Authors: Stefan Jackowski
Categories: Mathematics
Type: BOOK - Published: 2006-11-14 - Publisher: Springer

DOWNLOAD EBOOK

As part of the scientific activity in connection with the 70th birthday of the Adam Mickiewicz University in Poznan, an international conference on algebraic to
Secondary Cohomology Operations
Language: en
Pages: 282
Authors: John R. Harper
Categories: Mathematics
Type: BOOK - Published: 2002 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

Although the theory and applications of secondary cohomology operations are an important part of an advanced graduate-level algebraic topology course, there are
Recent Progress in Homotopy Theory
Language: en
Pages: 424
Authors: Donald M. Davis
Categories: Mathematics
Type: BOOK - Published: 2002 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

This volume presents the proceedings from the month-long program held at Johns Hopkins University (Baltimore, MD) on homotopy theory, sponsored by the Japan-U.S
A Classification Theorem for Homotopy Commutative $H$-Spaces with Finitely Generated $\bmod 2$ Cohomology Rings
Language: en
Pages: 125
Authors: Michael Slack
Categories: Dyer-Lashof operations
Type: BOOK - Published: 1991 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

It is shown that a 2-connected homotopy commutative H-space with associative mod 2 homology ring and finitely generated mod 2 cohomology ring has acyclic mod 2