Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
  1. Home
  2. Search

Refine search

Refine search

Access:
Content type:
Publication date:
Apply   From and To filters
Subject: Show more
Journals Show more
Publishers: Show more
Societies Show more
Series: Show more
Collections: Show more

Actions for selected content:

Select all | Deselect all
  • View selected items
  • Export citations
  • Download PDF (zip)
  • Save to Kindle
  • Save to Dropbox
  • Save to Google Drive

Save Search

You can save your searches here and later view and run them again in "My saved searches".

Please provide a title, maximum of 40 characters.
Cancel
×

2 results

  • Pairings of Homotopy Sets Over and Under B

  • Nobuyuki Oda
  • Journal:
    Canadian Mathematical Bulletin / Volume 36 / Issue 2 / 01 June 1993
    Published online by Cambridge University Press:
    20 November 2018, pp. 231-240
    Print publication:
    01 June 1993
    • Article
      • You have access
    • PDF
    • Export citation

  • We define pairings and copairings in the category of topological spaces over and under B. We prove a relation between pairings of homotopy sets induced by a pairing and a copairing of topological spaces over and under B. We obtain some properties of the axes of pairings and the homotopy set of the axes of pairings in the category of topological spaces over and under B. We also prove the dual results.

  • A Homotopical Conner-Raymond Theorem and a Question of Gottlieb

  • John Oprea
  • Journal:
    Canadian Mathematical Bulletin / Volume 33 / Issue 2 / 01 June 1990
    Published online by Cambridge University Press:
    20 November 2018, pp. 219-229
    Print publication:
    01 June 1990
    • Article
      • You have access
    • PDF
    • Export citation

  • A homotopy theoretic version is given of the following result of Conner and Raymond: If the circle acts on a space so that the orbit map induces an injection in homology, then the space fibres over the circle with finite structure group. This homotopical analogue is related to recent results pertaining to the effect of the fundamental group's structure on the Euler characteristic. It is also used in the construction of a compact, simple 7-manifold with trivial Gottlieb group which, together with an infinite dimensional example of Ganea, answers a question of Gottlieb.