Skip to Main Content

Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

The structure of some equivariant Thom spectra
HTML articles powered by AMS MathViewer

by Steven R. Costenoble PDF
Trans. Amer. Math. Soc. 315 (1989), 231-254 Request permission

Abstract:

We show that the equivariant Thom spectra $M{O_{{{\text {Z}}_2}}}$ and $m{O_{{{\text {Z}}_2}}}$ do not split as wedges of equivariant Eilenberg-Mac Lane spectra, as they do nonequivariantly. This is done by finding two-stage Postnikov towers giving these spectra, and determining the nontrivial $k$-invariants. We also consider the question: In what sense is the spectrum $m{O_{{{\text {Z}}_2}}}$ representing unoriented bordism unique?
References
Similar Articles
  • Retrieve articles in Transactions of the American Mathematical Society with MSC: 57R85, 55P42
  • Retrieve articles in all journals with MSC: 57R85, 55P42
Additional Information
  • © Copyright 1989 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 315 (1989), 231-254
  • MSC: Primary 57R85; Secondary 55P42
  • DOI: https://doi.org/10.1090/S0002-9947-1989-0958887-X
  • MathSciNet review: 958887