Concerning suspension spheres
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- by Ronald H. Rosen
- Proc. Amer. Math. Soc. 23 (1969), 225-231
- DOI: https://doi.org/10.1090/S0002-9939-1969-0267591-8
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References
- J. J. Andrews and M. L. Curtis, $n$-space modulo an arc, Ann. of Math. (2) 75 (1962), 1โ7. MR 139153, DOI 10.2307/1970414
- R. H. Bing, The cartesian product of a certain nonmanifold and a line is $E^{4}$, Ann. of Math. (2) 70 (1959), 399โ412. MR 107228, DOI 10.2307/1970322
- 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
- Peter W. Harley, On suspending homotopy spheres, Proc. Amer. Math. Soc. 19 (1968), 1123โ1124. MR 234470, DOI 10.1090/S0002-9939-1968-0234470-0
- Morris W. Hirsch, On homotopy spheres of low dimension, Differential and Combinatorial Topology (A Symposium in Honor of Marston Morse), Princeton Univ. Press, Princeton, N.J., 1965, pp.ย 199โ204. MR 0179800
- Robion C. Kirby, On the set of non-locally flat points of a submanifold of codimension one, Ann. of Math. (2) 88 (1968), 281โ290. MR 236900, DOI 10.2307/1970575
- Kyung Whan Kwun, Factors of $N$-space, Michigan Math. J. 9 (1962), 207โ211. MR 151946
- Kyung Whan Kwun and Frank Raymond, Manifolds which are joins, Trans. Amer. Math. Soc. 111 (1964), 108โ120. MR 158382, DOI 10.1090/S0002-9947-1964-0158382-7
- M. H. A. Newman, The engulfing theorem for topological manifolds, Ann. of Math. (2) 84 (1966), 555โ571. MR 203708, DOI 10.2307/1970460
- Frank Raymond, Separation and union theorems for generalized manifolds with boundary, Michigan Math. J. 7 (1960), 7โ21. MR 120638
- Ronald H. Rosen, $E^{4}$ is the cartesian product of a totally non-euclidean space and $E^{1}$, Ann. of Math. (2) 73 (1961), 349โ361. MR 124888, DOI 10.2307/1970337
- Ronald H. Rosen, Examples of non-orthogonal involutions of euclidean spaces, Ann. of Math. (2) 78 (1963), 560โ566. MR 155310, DOI 10.2307/1970541
- 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
- Ronald H. Rosen, The five dimensional polyhedral Schoenflies theorem, Bull. Amer. Math. Soc. 70 (1964), 511โ516. MR 163298, DOI 10.1090/S0002-9904-1964-11176-9
- Stephen Smale, A Vietoris mapping theorem for homotopy, Proc. Amer. Math. Soc. 8 (1957), 604โ610. MR 87106, DOI 10.1090/S0002-9939-1957-0087106-9
- John Stallings, The piecewise-linear structure of Euclidean space, Proc. Cambridge Philos. Soc. 58 (1962), 481โ488. MR 149457
- Raymond Louis Wilder, Topology of manifolds, American Mathematical Society Colloquium Publications, Vol. XXXII, American Mathematical Society, Providence, R.I., 1963. MR 0182958
- M. L. Curtis, Cartesian products with intervals, Proc. Amer. Math. Soc. 12 (1961), 819โ820. MR 126286, DOI 10.1090/S0002-9939-1961-0126286-4 K. Borsuk, Ueber die Abbildungen der metrischen kompakten Raรผme auf die Kreislinie, Fund. Math. 20 (1933), 230 ff. E. ฤech, Sur les continus peaniens unicohรฉrents, Fund. Math. 20 (1933), 232 ff.
Bibliographic Information
- © Copyright 1969 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 23 (1969), 225-231
- MSC: Primary 57.01
- DOI: https://doi.org/10.1090/S0002-9939-1969-0267591-8
- MathSciNet review: 0267591