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Cellular decompositions of 3-manifolds that yield 3-manifolds. (English) Zbl 0184.48703

Armentrout, Steve
Reviewer: Steve Armentrout

MSC:

57N05 Topology of the Euclidean \(2\)-space, \(2\)-manifolds (MSC2010)
57N60 Cellularity in topological manifolds
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References:

[1] Steve Armentrout, Upper semi-continuous decompositions of \?³ with at most countably many non-degenerate elements, Ann. of Math. (2) 78 (1963), 605 – 618. · Zbl 0115.40702 · doi:10.2307/1970546
[2] Steve Armentrout, Decompostions of \?³ with a compact \?-dimensional set of nondegenerate elements, Trans. Amer. Math. Soc. 123 (1966), 165 – 177. · Zbl 0151.30604
[3] Steve Armentrout, Concerning cellular decompositions of 3-manifolds that yield 3-manifolds, Trans. Amer. Math. Soc. 133 (1968), 307 – 332. · Zbl 0175.20602
[4] Steve Armentrout, Concerning cellular decompositions of 3-manifolds with boundary, Trans. Amer. Math. Soc. 137 (1969), 231 – 236. · Zbl 0175.49901
[5] S. Armentrout, Shrinkability of certain decompositions of E, Illinois J. Math. (to appear). · Zbl 0179.28104
[6] R. H. Bing, Point-like decompositions of \?³, Fund. Math. 50 (1961/1962), 431 – 453.
[7] E. H. Connell, Images of \?_{\?} under acyclic maps, Amer. J. Math. 83 (1961), 787 – 790. · Zbl 0101.16502 · doi:10.2307/2372908
[8] Ross Finney, Point-like, simplicial mappings of a 3-sphere, Canad. J. Math. 15 (1963), 591 – 604. · Zbl 0116.14705 · doi:10.4153/CJM-1963-060-x
[9] T. M. Price, Upper semicontinuous decompositions of E, Thesis, University of Wisconsin, Madison, Wis., 1964.
[10] T. M. Price, A necessary condition that a cellular upper semi-continuous decomposition of \?\(^{n}\) yield \?\(^{n}\), Trans. Amer. Math. Soc. 122 (1966), 427 – 435. · Zbl 0138.18002
[11] T. M. Price, Decompositions of S, Notices Amer. Math. Soc. 15 (1968), 103.
[12] W. Voxman, Decompositions of 3-manifolds and pseudo-isotopies, Notices Amer. Math. Soc. 15 (1968), 547.
[13] W. Voxman, On the shrinkability of decompositions of 3-manifolds, Notices Amer. Math. Soc. 15 (1968), 649. · Zbl 0198.56304
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