Approximate fibrations-a geometric perspective

Author(s):  
Donald S. Coram
1977 ◽  
Vol 29 (5) ◽  
pp. 897-913 ◽  
Author(s):  
L. S. Husch

A map p: E → B between metric spaces has the approximate homotopy lifting property with respect to the space X if given a cover Ū of B and maps g: X → E and H: X × [0, 1] → B such that H(x, 0) = pg(x) for all x ϵ X, then there exists a map G: X × [0, 1] → E such that G(x, 0) = g(x) and pGt and Ht are Ū-close for all x ϵ X and t ϵ [0, 1]; i.e. given (x, t) ∊ X × [0, 1], there exists U × Ū such that pG(x, t) and H(x, t) are elements of U.


2002 ◽  
Vol 120 (1-2) ◽  
pp. 9-21 ◽  
Author(s):  
Robert J. Daverman ◽  
Yongkuk Kim

2012 ◽  
Vol 164 (1) ◽  
pp. 395-395
Author(s):  
Bruce Hughes ◽  
Qayum Khan

Topology ◽  
2002 ◽  
Vol 41 (5) ◽  
pp. 1041-1050 ◽  
Author(s):  
J.L. Bryant ◽  
P. Kirby

1991 ◽  
Vol 3 (3) ◽  
Author(s):  
C. Bruce Hughes ◽  
Laurence R. TaylorPartially supported by the N. ◽  
E. Bruce WilliamsPartially supported by the

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