Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Tameness implied by extending a homeomorphism to a point
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by L. D. Loveland

Proc. Amer. Math. Soc. 23 (1969), 287-293

DOI: https://doi.org/10.1090/S0002-9939-1969-0250282-7

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References

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R. H. Bing, Each disk in $E^{3}$ contains a tame arc, Amer. J. Math. 84 (1962), 583–590. MR 146811, DOI 10.2307/2372864
C. E. Burgess, Characterizations of tame surfaces in $E^{3}$, Trans. Amer. Math. Soc. 114 (1965), 80–97. MR 176456, DOI 10.1090/S0002-9947-1965-0176456-2
C. E. Burgess, Criteria for a $2$-sphere in $S^{3}$ to be tame modulo two points, Michigan Math. J. 14 (1967), 321–330. MR 216481
P. H. Doyle and J. G. Hocking, Special $n$-manifolds with boundary, Proc. Amer. Math. Soc. 16 (1965), 133–135. MR 175102, DOI 10.1090/S0002-9939-1965-0175102-7
Ralph H. Fox and Emil Artin, Some wild cells and spheres in three-dimensional space, Ann. of Math. (2) 49 (1948), 979–990. MR 27512, DOI 10.2307/1969408
David S. Gillman, Side approximation, missing an arc, Amer. J. Math. 85 (1963), 459–476. MR 160193, DOI 10.2307/2373136
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L. D. Loveland, Conditions implying that a $2$-sphere is almost tame, Trans. Amer. Math. Soc. 131 (1968), 170–181. MR 224074, DOI 10.1090/S0002-9947-1968-0224074-2
L. D. Loveland, Piercing points of crumpled cubes, Trans. Amer. Math. Soc. 143 (1969), 145–152. MR 247619, DOI 10.1090/S0002-9947-1969-0247619-6
L. D. Loveland, Sufficient conditions for a closed set to lie on the boundary of a $3$-cell, Proc. Amer. Math. Soc. 19 (1968), 649–652. MR 227961, DOI 10.1090/S0002-9939-1968-0227961-X
Joseph Martin, The sum of two crumpled cubes, Michigan Math. J. 13 (1966), 147–151. MR 190914
D. R. McMillan Jr., Piercing a disk along a cellular set, Proc. Amer. Math. Soc. 19 (1968), 153–157. MR 220266, DOI 10.1090/S0002-9939-1968-0220266-2

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Bibliographic Information

© Copyright 1969 American Mathematical Society
Journal: Proc. Amer. Math. Soc. 23 (1969), 287-293
MSC: Primary 54.78
DOI: https://doi.org/10.1090/S0002-9939-1969-0250282-7
MathSciNet review: 0250282