M -equivalences and homotopy colimits

David Blanc, Robert D. Thompson

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


Given a fixed "model space" M, we call a map f: X-+ Y an M-equivalence if it induces a weak equivalence f.: xM-+ yM on mapping spaces. We discuss the following question: under what conditions do homotopy colimits preserve M-equivalences? For certain M's of interest,
this is shown to depend precisely on the connectivities of the spaces.
Original languageEnglish
Title of host publicationThe Čech Centennial
Subtitle of host publicationA Conference on Homotopy Theory
EditorsJonathan Rosenberg, Stephan Stolz
PublisherAmerican Mathematical Society
Number of pages7
ISBN (Electronic)978-0-8218-7772-2
ISBN (Print)978-0-8218-0296-0, 0-8218-0296-8
StatePublished - 1995

Publication series

NameContemporary Mathematics
PublisherAmerican Mathematical Society


  • Combinatorics
  • Cyclic group
  • Fundamental group
  • Group (mathematics)
  • Manifold
  • Mathematics
  • Order (group theory)
  • Scalar curvature
  • Simply connected space
  • Trivial group


Dive into the research topics of 'M -equivalences and homotopy colimits'. Together they form a unique fingerprint.

Cite this