The five dimensional polyhedral Schoenflies theorem
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- by Ronald H. Rosen PDF
- Bull. Amer. Math. Soc. 70 (1964), 511-516
References
-
1. J. W. Alexander, On the subdivision of 3-space by a polyhedron, Proc. Nat. Acad. Sci. U.S.A. 10 (1924), 6-8.
- James W. Alexander, The combinatorial theory of complexes, Ann. of Math. (2) 31 (1930), no.ย 2, 292โ320. MR 1502943, DOI 10.2307/1968099 3. R. H. Bing, The cartesian product of a certain nonfnanifold and a line is E4, Ann. of Math. (2) 65 (1957), 484-500.
- Marston Morse, A reduction of the Schoenflies extension problem, Bull. Amer. Math. Soc. 66 (1960), 113โ115. MR 117694, DOI 10.1090/S0002-9904-1960-10420-X
- Morton Brown, Locally flat imbeddings of topological manifolds, Ann. of Math. (2) 75 (1962), 331โ341. MR 133812, DOI 10.2307/1970177 6. J. C. Cantrell, Almost locally flat embeddings of S, Bull. Amer. Math. Soc. 69 (1963), 716-718.
- J. C. Cantrell and C. H. Edwards Jr., Almost locally polyhedral curves in Euclidean $n$-space, Trans. Amer. Math. Soc. 107 (1963), 451โ457. MR 149453, DOI 10.1090/S0002-9947-1963-0149453-9
- Herman Gluck, Unknotting $S^{1}$ in $S^{4}$, Bull. Amer. Math. Soc. 69 (1963), 91โ94. MR 142114, DOI 10.1090/S0002-9904-1963-10873-3 9. D. R. McMillan, The singular points of a topological embedding, Abstract 63T-373, Notices Amer. Math. Soc. 10 (1963), 588.
- Edwin E. Moise, Affine structures in $3$-manifolds. V. The triangulation theorem and Hauptvermutung, Ann. of Math. (2) 56 (1952), 96โ114. MR 48805, DOI 10.2307/1969769
- R. L. Moore, Foundations of point set theory, Revised edition, American Mathematical Society Colloquium Publications, Vol. XIII, American Mathematical Society, Providence, R.I., 1962. MR 0150722
- M. H. A. Newman, On the division of Euclidean $n$-space by topological $(n-1)$-spheres, Proc. Roy. Soc. London Ser. A 257 (1960), 1โ12. MR 123305, DOI 10.1098/rspa.1960.0128
- Ronald H. Rosen, Stellar neighborhoods in polyhedral manifolds, Proc. Amer. Math. Soc. 14 (1963), 401โ406. MR 150781, DOI 10.1090/S0002-9939-1963-0150781-7
- Ronald H. Rosen, Polyhedral neighborhoods in triangulated manifolds, Bull. Amer. Math. Soc. 69 (1963), 359โ361. MR 146808, DOI 10.1090/S0002-9904-1963-10921-0
- John Stallings, On topologically unknotted spheres, Ann. of Math. (2) 77 (1963), 490โ503. MR 149458, DOI 10.2307/1970127
- Raymond Louis Wilder, Topology of Manifolds, American Mathematical Society Colloquium Publications, Vol. 32, American Mathematical Society, New York, N. Y., 1949. MR 0029491, DOI 10.1090/coll/032
Additional Information
- Journal: Bull. Amer. Math. Soc. 70 (1964), 511-516
- DOI: https://doi.org/10.1090/S0002-9904-1964-11176-9
- MathSciNet review: 0163298