Access

You are not currently logged in.

Access your personal account or get JSTOR access through your library or other institution:

login

Log in to your personal account or through your institution.

If You Use a Screen Reader

This content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.

The Wall Invariant of Certain $S^1$ Bundles

Douglas R. Anderson
Proceedings of the American Mathematical Society
Vol. 31, No. 2 (Feb., 1972), pp. 529-535
DOI: 10.2307/2037567
Stable URL: http://www.jstor.org/stable/2037567
Page Count: 7
  • Read Online (Free)
  • Download ($30.00)
  • Subscribe ($19.50)
  • Cite this Item
Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
The Wall Invariant of Certain $S^1$ Bundles
Preview not available

Abstract

Let $p:E \rightarrow B$ be a principal $S^1$ bundle with $B$ dominated by a finite complex. Then it is easy to show that $E$ is also dominated by a finite complex. In this paper we show, under suitable additional hypotheses, that in fact $E$ has the homotopy type of a finite complex. The proof is carried out by computing Wall's finiteness obstruction for $E$.

Page Thumbnails

  • Thumbnail: Page 
529
    529
  • Thumbnail: Page 
530
    530
  • Thumbnail: Page 
531
    531
  • Thumbnail: Page 
532
    532
  • Thumbnail: Page 
533
    533
  • Thumbnail: Page 
534
    534
  • Thumbnail: Page 
535
    535