Implications in Morava K-theory

Implications in Morava K-theory

by Kane, Richard M.

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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.

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Title Statements

  • Full title :Implications in Morava K-theory / Richard M. Kane.

Summary

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.

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Edition Statements

  • Publication Date:©1986.

Publication Statements

Notes

"January 1986, volume 59, number 340 (second of 3 numbers)."

The Physical Object

  • Description:iv, 110 pages : : illustratons ; : 26 cm.

Edition Identifiers

  • ISBN:0821823426, 9780821823422
  • oclc:ocm12839970
  • LC Classification:QA3
  • Dewey Decimal:510 s

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