Cartesian products of contractible open manifolds

McMillan, D. R., Jr.

doi:10.1090/S0002-9904-1961-10662-9

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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Cartesian products of contractible open manifolds
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by D. R. McMillan Jr. PDF

Bull. Amer. Math. Soc. 67 (1961), 510-514

References

Morton Brown, The monotone union of open $n$-cells is an open $n$-cell, Proc. Amer. Math. Soc. 12 (1961), 812–814. MR 126835, DOI 10.1090/S0002-9939-1961-0126835-6
James Glimm, Two Cartesian products which are Euclidean spaces, Bull. Soc. Math. France 88 (1960), 131–135. MR 125573, DOI 10.24033/bsmf.1547
John R. Stallings, Polyhedral homotopy-spheres, Bull. Amer. Math. Soc. 66 (1960), 485–488. MR 124905, DOI 10.1090/S0002-9904-1960-10511-3
John Stallings, On the loop theorem, Ann. of Math. (2) 72 (1960), 12–19. MR 121796, DOI 10.2307/1970146

Additional Information

Journal: Bull. Amer. Math. Soc. 67 (1961), 510-514
DOI: https://doi.org/10.1090/S0002-9904-1961-10662-9
MathSciNet review: 0131280