Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

The stability problem in shape, and a Whitehead theorem in pro-homotopy


Authors: David A. Edwards and Ross Geoghegan
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
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)


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

DOI: https://doi.org/10.1090/S0002-9947-1975-0413095-6
Article copyright: © Copyright 1975 American Mathematical Society