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Cellular decompositions of 3-manifolds that yield 3-manifolds
Author:
Steve Armentrout
Journal:
Bull. Amer. Math. Soc. 75 (1969), 453-456
MathSciNet review:
0239578
Full-text PDF
References |
Additional Information
- 1.
Steve
Armentrout, Upper semi-continuous decompositions of 𝐸³
with at most countably many non-degenerate elements, Ann. of Math. (2)
78 (1963), 605–618. MR 0156331
(27 #6255)
- 2.
Steve
Armentrout, Decompostions of 𝐸³ with
a compact 𝑂-dimensional set of nondegenerate elements, Trans. Amer. Math. Soc. 123 (1966), 165–177. MR 0195074
(33 #3279), http://dx.doi.org/10.1090/S0002-9947-1966-0195074-4
- 3.
Steve
Armentrout, Concerning cellular decompositions of
3-manifolds that yield 3-manifolds, Trans.
Amer. Math. Soc. 133 (1968), 307–332. MR 0230296
(37 #5859), http://dx.doi.org/10.1090/S0002-9947-1968-0230296-7
- 4.
Steve
Armentrout, Concerning cellular decompositions of
3-manifolds with boundary, Trans. Amer. Math.
Soc. 137 (1969),
231–236. MR 0236931
(38 #5224), http://dx.doi.org/10.1090/S0002-9947-1969-0236931-2
- 5.
S. Armentrout, Shrinkability of certain decompositions of E, Illinois J. Math. (to appear).
- 6.
R.
H. Bing, Point-like decompositions of 𝐸³, Fund.
Math. 50 (1961/1962), 431–453. MR 0137104
(25 #560)
- 7.
E.
H. Connell, Images of 𝐸_{𝑛} under acyclic
maps, Amer. J. Math. 83 (1961), 787–790. MR 0137122
(25 #578)
- 8.
Ross
Finney, Point-like, simplicial mappings of a 3-sphere, Canad.
J. Math. 15 (1963), 591–604. MR 0156329
(27 #6253)
- 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 𝐸ⁿ yield
𝐸ⁿ, Trans. Amer. Math. Soc.
122 (1966),
427–435. MR 0193627
(33 #1843), http://dx.doi.org/10.1090/S0002-9947-1966-0193627-0
- 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.
- 1.
- S. Armentrout, Upper semi-continuous decompositions of E, Ann. of Math. (2) 79 (1963), 605-618. MR 156331
- 2.
- S. Armentrout, Decompositions of E, Trans. Amer. Math. Soc. 123 (1966), 165-177. MR 195074
- 3.
- S. Armentrout, Concerning cellular decompositions of 3-manifolds that yield 3-manifolds, Trans. Amer. Math. Soc. 133 (1968), 307-332. MR 230296
- 4.
- S. Armentrout, Concerning cellular decompositions of 3-manifolds with boundary, Trans. Amer. Math. Soc. 137 (1969), 231-336. MR 236931
- 5.
- S. Armentrout, Shrinkability of certain decompositions of E, Illinois J. Math. (to appear).
- 6.
- R. H. Bing, Point-like decompositions of E, Fund. Math. 50 (1962), 431-453. MR 137104
- 7.
- E. H. Connell, Images of E, Amer. J. Math. 83 (1961), 787-790 MR 137122
- 8.
- R. L. Finney, Point-like, simplicial mappings of a 3-sphere, Canad. J. Math. 15 (1963), 591-604. MR 156329
- 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 semicontinuous decomposition of E, Trans. Amer. Math. Soc. 122 (1966), 427-435. MR 193627
- 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.
Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9904-1969-12218-4
PII:
S 0002-9904(1969)12218-4
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