The equivalence of fiber spaces and bundles

Fadell, Edward

doi:10.1090/S0002-9904-1960-10389-8

Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2024 MCQ for Bulletin of the American Mathematical Society is 0.84.

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The equivalence of fiber spaces and bundles
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Bull. Amer. Math. Soc. 66 (1960), 50-53

References

Albrecht Dold, Über fasernweise Homotopieäquivalenz von Faserräumen, Math. Z. 62 (1955), 111–136 (German). MR 73986, DOI 10.1007/BF01180627
Edward Fadell, On fiber homotopy equivalence, Duke Math. J. 26 (1959), 699–706. MR 109347
Witold Hurewicz, On the concept of fiber space, Proc. Nat. Acad. Sci. U.S.A. 41 (1955), 956–961. MR 73987, DOI 10.1073/pnas.41.11.956
John Milnor, Construction of universal bundles. I, Ann. of Math. (2) 63 (1956), 272–284. MR 77122, DOI 10.2307/1969609
Jean-Pierre Serre, Homologie singulière des espaces fibrés. Applications, Ann. of Math. (2) 54 (1951), 425–505 (French). MR 45386, DOI 10.2307/1969485
George W. Whitehead, Fiber spaces and the Eilenberg homology groups, Proc. Nat. Acad. Sci. U.S.A. 38 (1952), 426–430. MR 48029, DOI 10.1073/pnas.38.5.426

Additional Information

Journal: Bull. Amer. Math. Soc. 66 (1960), 50-53
DOI: https://doi.org/10.1090/S0002-9904-1960-10389-8
MathSciNet review: 0112137