Book Review
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MathSciNet review:
1567723
Full text of review:
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Book Information:
Author:
Robert J. Daverman
Title:
Decompositions of manifolds
Additional book information:
Academic Press, Orlando, 1986, xi+317 pp., $55.00. ISBN 0-12-204220-4.
R. H. Bing, A homeomorphism between the $3$-sphere and the sum of two solid horned spheres, Ann. of Math. (2) 56 (1952), 354–362. MR 49549, DOI 10.2307/1969804
R. H. Bing, Inequivalent families of periodic homeomorphisms of $E^{3}$, Ann. of Math. (2) 80 (1964), 78–93. MR 163308, DOI 10.2307/1970492
R. H. Bing, The cartesian product of a certain nonmanifold and a line is $E^{4}$, Ann. of Math. (2) 70 (1959), 399–412. MR 107228, DOI 10.2307/1970322
Marston Morse, A reduction of the Schoenflies extension problem, Bull. Amer. Math. Soc. 66 (1960), 113–115. MR 117694, DOI 10.1090/S0002-9904-1960-10420-X
J. W. Cannon, $\Sigma ^{2}H^{3}=S^{5}/G$, Rocky Mountain J. Math. 8 (1978), no. 3, 527–532. MR 478166, DOI 10.1216/RMJ-1978-8-3-527
6. R. D. Edwards, Suspensions of homology spheres (unpublished manuscript).
Michael Hartley Freedman, The topology of four-dimensional manifolds, J. Differential Geometry 17 (1982), no. 3, 357–453. MR 679066
8. C. H. Giffen, Disciplining dunce hats in 4-manifolds (unpublished manuscript).
9. R. L. Moore, Concerning upper semi-continuous collections of continua which do not separate a given continuum, Proc. Nat. Acad. Sci. 10 (1924), 356-360.
R. L. Moore, Concerning upper semi-continuous collections of continua, Trans. Amer. Math. Soc. 27 (1925), no. 4, 416–428. MR 1501320, DOI 10.1090/S0002-9947-1925-1501320-8
Frank Quinn, Resolutions of homology manifolds, and the topological characterization of manifolds, Invent. Math. 72 (1983), no. 2, 267–284. MR 700771, DOI 10.1007/BF01389323
12. G. T. Whyburn, On the structure of continua, Bull. Amer. Math. Soc. 42 (1936), 49-73.
- 1.
- R. H. Bing, A homeomorphism between the 3-sphere and the sum of two solid horned spheres, Ann. of Math. (2) 56 (1952), 354-362. MR 0049549
- 2.
- R. H. Bing, Inequivalent families of periodic homeomorphisms of E, Ann. of Math. (2) 80 (1964), 78-93. MR 163308
- 3.
- R. H. Bing, The Cartesian product of a certain nonmanifold and a line is E, Ann. of Math. (2) 70 (1959), 399-412. MR 107228
- 4.
- M. Brown, A proof of the generalized Schönflies theorem, Bull. Amer. Math. Soc. 66 (1960), 74-76. MR 117695
- 5.
- J. W. Cannon, Σ, Rocky Mountain J. Math. 8 (1978), 527-532. MR 478166
- 6.
- R. D. Edwards, Suspensions of homology spheres (unpublished manuscript).
- 7.
- M. H. Freedman, The topology of four-dimensional manifolds, J. Differential Geom. 17 (1982), 357-453. MR 679066
- 8.
- C. H. Giffen, Disciplining dunce hats in 4-manifolds (unpublished manuscript).
- 9.
- R. L. Moore, Concerning upper semi-continuous collections of continua which do not separate a given continuum, Proc. Nat. Acad. Sci. 10 (1924), 356-360.
- 10.
- R. L. Moore, Concerning upper semi-continuous collections of continua, Trans. Amer. Math. Soc. 27 (1925), 416-428. MR 1501320
- 11.
- F. Quinn, Resolutions of homology manifolds, and the topological characterization of manifolds, Invent. Math. 72 (1983), 267-284; Corrigendum, Invent. Math. 85 (1986), 653. MR 700771
- 12.
- G. T. Whyburn, On the structure of continua, Bull. Amer. Math. Soc. 42 (1936), 49-73.
Review Information:
Reviewer:
Steve Armentrout
Journal:
Bull. Amer. Math. Soc.
19 (1988), 562-565
DOI:
https://doi.org/10.1090/S0273-0979-1988-15743-6
