Armentrout, Steve Cellular decompositions of 3-manifolds that yield 3-manifolds. (English) Zbl 0184.48703 Bull. Am. Math. Soc. 75, 453-456 (1969). Armentrout, Steve Reviewer: Steve Armentrout Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 6 Documents MSC: 57N05 Topology of the Euclidean \(2\)-space, \(2\)-manifolds (MSC2010) 57N60 Cellularity in topological manifolds PDFBibTeX XMLCite \textit{S. Armentrout}, Bull. Am. Math. Soc. 75, 453--456 (1969; Zbl 0184.48703) Full Text: DOI 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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.