Infinite-dimensional Whitehead and Vietoris theorems in shape and pro-homotopy

Edwards, David A.; Geoghegan, Ross

doi:10.1090/S0002-9947-1976-0402735-4

Infinite-dimensional Whitehead and Vietoris theorems in shape and pro-homotopy
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by David A. Edwards and Ross Geoghegan

Trans. Amer. Math. Soc. 219 (1976), 351-360

DOI: https://doi.org/10.1090/S0002-9947-1976-0402735-4

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Abstract:

In Theorem 3.3 and Remark 3.4 conditions are given under which an infinite-dimensional Whitehead theorem holds in pro-homotopy. Applications to shape theory are given in Theorems 1.1, 1.2, 4.1 and 4.2.

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