A pullback theorem for cofibrations Article

DOI :
10.1007/BF01165895

Cite this article as: Kieboom, R.W. Manuscripta Math (1987) 58: 381. doi:10.1007/BF01165895
Abstract In this note we prove a pullback theorem for cofibrations, which extends a well known theorem of Strøm [5]. It also implies the pullback theorem of Heath [4] for locally equiconnected spaces. In addition, we comment on the dual problem of attaching fibrations.

References [1]

T. TOM DIECK, K.H. KAMPS und D. PUPPE: Homotopietheorie. Lect. Notes in Math. 157, Springer, Berlin 1970

[2]

R. FUREY and P.R. HEATH: Notes on Toppair, Top_{x} and regular fibrations, coglueing and duality. Can. Math. Bull. 24 (1981), 317–329

[3]

P.R. HEATH and K.H. KAMPS: Note on attaching Dold fibrations. Can. Math. Bull. 21 (1978), 365–367

[4]

P.R. HEATH: A pullback theorem for locally equiconnected spaces. Manuscr. Math. 55 (1986), 233–237

[5]

A. STRØM: Note on cofibrations II. Math. Scand. 22 (1968), 130–142

[6]

A. STRØM: The homotopy category is a homotopy category. Arch. Math. 23 (1972), 435–441

[7]

E.H. SPANIER: Algebraic topology. Mc Graw-Hill, New York 1966

[8]

P. TULLEY - MC AULEY: A note on paired fibrations. Proc. Amer. Math. Soc. 34 (1972), 534–540

Authors and Affiliations 1. Department of Mathematics Vrije Universiteit Brussel Brussel Belgium