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.

A Version of Zabrodsky's Lemma

Jin-Yen Tai
Proceedings of the American Mathematical Society
Vol. 126, No. 5 (May, 1998), pp. 1573-1578
Stable URL: http://www.jstor.org/stable/118816
Page Count: 6
  • 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.
A Version of Zabrodsky's Lemma
Preview not available

Abstract

Zabrodsky's Lemma says: Suppose given a fibrant space Y and a homotopy fiber sequence F → E → X with X connected. If the map Y = map(*, Y) → map(F, Y) which is induced by F → * is a weak equivalence, then map(X, Y) → map(E, Y) is a weak equivalence. This has been generalized by Bousfield. We improve on Bousefield's generalization and give some applications.

Page Thumbnails

  • Thumbnail: Page 
1573
    1573
  • Thumbnail: Page 
1574
    1574
  • Thumbnail: Page 
1575
    1575
  • Thumbnail: Page 
1576
    1576
  • Thumbnail: Page 
1577
    1577
  • Thumbnail: Page 
1578
    1578