A necessary condition that a cellular upper semi-continuous decomposition of $E^{n}$ yield $E^{n}$
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- by T. M. Price
- Trans. Amer. Math. Soc. 122 (1966), 427-435
- DOI: https://doi.org/10.1090/S0002-9947-1966-0193627-0
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References
- Steve Armentrout, Upper semi-continuous decompositions of $E^{3}$ with at most countably many non-degenerate elements, Ann. of Math. (2) 78 (1963), 605β618. MR 156331, DOI 10.2307/1970546
- R. H. Bing, A decomposition of $E^3$ into points and tame arcs such that the decomposition space is topologically different from $E^3$, Ann. of Math. (2) 65 (1957), 484β500. MR 92961, DOI 10.2307/1970058
- R. H. Bing, Conditions under which a surface in $E^{3}$ is tame, Fund. Math. 47 (1959), 105β139. MR 107229, DOI 10.4064/fm-47-1-105-139
- E. H. Connell, Images of $E_{n}$ under acyclic maps, Amer. J. Math. 83 (1961), 787β790. MR 137122, DOI 10.2307/2372908
- C. H. Edwards Jr., Open $3$-manifolds which are simply connected at infinity, Proc. Amer. Math. Soc. 14 (1963), 391β395. MR 150745, DOI 10.1090/S0002-9939-1963-0150745-3
- D. R. McMillan Jr., Cartesian products of contractible open manifolds, Bull. Amer. Math. Soc. 67 (1961), 510β514. MR 131280, DOI 10.1090/S0002-9904-1961-10662-9
- John Stallings, The piecewise-linear structure of Euclidean space, Proc. Cambridge Philos. Soc. 58 (1962), 481β488. MR 149457, DOI 10.1017/S0305004100036756
- J. H. C. Whitehead, Combinatorial homotopy. II, Bull. Amer. Math. Soc. 55 (1949), 453β496. MR 30760, DOI 10.1090/S0002-9904-1949-09213-3
- R. L. Wilder, Monotone mappings of manifolds. II, Michigan Math. J. 5 (1958), 19β23. MR 97798, DOI 10.1307/mmj/1028998007
Bibliographic Information
- © Copyright 1966 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 122 (1966), 427-435
- MSC: Primary 54.78
- DOI: https://doi.org/10.1090/S0002-9947-1966-0193627-0
- MathSciNet review: 0193627