Infinite-Dimensional Whitehead and Vietoris Theorems in Shape and Pro-Homotopy

David A. Edwards, Ross Geoghegan
1976 Transactions of the American Mathematical Society  
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.
doi:10.2307/1997600 fatcat:4x2ilugb7bhjta3i2wbz7vn4iu