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

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- 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

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*Stability theorems in shape and pro-homotopy*(to appear).

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## 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