Operations in connective K-theory

Operations in connective K-theory

by Kane, Richard M.

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This paper constructs and studies a family {[italic]Q[italic]n} of operations in complex connective K-theory. The operations arise from splitting [italic]b[italic]u [wedge product symbol]∧[italic]b[italic]u (localized at a prime p) into a wedge of summands. The operations are applied to obtain restrictions on the action of Steenrod powers on [italic]H[italic bold]Z/p*([italic]X) when [italic]H[italic bold]Z [subscript](p)*([italic]X) is torsion free.

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Title Statements

  • Full title :Operations in connective K-theory / Richard M. Kane.

Summary

This paper constructs and studies a family {[italic]Q[italic]n} of operations in complex connective K-theory. The operations arise from splitting [italic]b[italic]u [wedge product symbol]∧[italic]b[italic]u (localized at a prime p) into a wedge of summands. The operations are applied to obtain restrictions on the action of Steenrod powers on [italic]H[italic bold]Z/p*([italic]X) when [italic]H[italic bold]Z [subscript](p)*([italic]X) is torsion free.

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Edition Statements

  • Publication Date:©1981.

Publication Statements

Notes

"Volume 34, number 254 (end of volume)."

The Physical Object

  • Description:vi, 102 pages : : illustrations ; : 26 cm.

Edition Identifiers

  • ISBN:0821822543, 9780821822548
  • oclc:ocm07813152
  • LC Classification:QA3
  • Dewey Decimal:510 s

Table of Contents

Main results -- The spectra {[italic]K([italic]n)} -- Splitting of [bold italic lowercase L]l [wedge product symbol]∧ [bold italic lowercase L]l -- The operations {[italic]Q[italic]n}.

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Subjects

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