A product theorem for $H$-group fibrations
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- by F. H. Croom PDF
- Proc. Amer. Math. Soc. 31 (1972), 543-549 Request permission
Abstract:
Let ($(E,p,B)$) and ($(Eā,pā,B)$) be $H$-group fibrations over $B$ with basic fibers $F$ and $Fā$ respectively. If there are base point preserving fiber maps $f:E \rightleftarrows Eā:g$ such that $f$ is a fiber $H$-homomorphism, then $E \times Fā$ and $Eā \times F$ have the same homotopy type.References
- F. H. Croom, Exact loop space sequences, Fund. Math. 72 (1971), no.Ā 1, 1ā6. MR 295350, DOI 10.4064/fm-72-1-1-6
- Albrecht Dold, Partitions of unity in the theory of fibrations, Ann. of Math. (2) 78 (1963), 223ā255. MR 155330, DOI 10.2307/1970341
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 31 (1972), 543-549
- DOI: https://doi.org/10.1090/S0002-9939-1972-0290368-4
- MathSciNet review: 0290368