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 stability problem in shape, and a Whitehead theorem in pro-homotopy
HTML articles powered by AMS MathViewer

by David A. Edwards and Ross Geoghegan PDF
Trans. Amer. Math. Soc. 214 (1975), 261-277 Request permission

Abstract:

Theorem 3.1 is a Whitehead theorem in pro-homotopy for finite-dimensional pro-complexes. This is used to obtain necessary and sufficient algebraic conditions for a finite-dimensional tower of complexes to be pro-homotopy equivalent to a complex (§4) and for a finite-dimensional compact metric space to be pointed shape equivalent to an absolute neighborhood retract (§5).
References
Similar Articles
  • Retrieve articles in Transactions of the American Mathematical Society with MSC: 55D99, 54C56
  • Retrieve articles in all journals with MSC: 55D99, 54C56
Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 214 (1975), 261-277
  • MSC: Primary 55D99; Secondary 54C56
  • DOI: https://doi.org/10.1090/S0002-9947-1975-0413095-6
  • MathSciNet review: 0413095