Book Review

The AMS does not provide abstracts of book reviews. You may download the entire review from the links below.

MathSciNet review: 1567723

Full text of review: PDF This review is available free of charge.

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.

*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

*Inequivalent families of periodic homeomorphisms of $E^{3}$*, Ann. of Math. (2)

**80**(1964), 78–93. MR

**163308**, DOI 10.2307/1970492

*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

*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

*$\Sigma ^{2}H^{3}=S^{5}/G$*, Rocky Mountain J. Math.

**8**(1978), no. 3, 527–532. MR

**478166**, DOI 10.1216/RMJ-1978-8-3-527

**6.**

*Suspensions of homology spheres*(unpublished manuscript).

*The topology of four-dimensional manifolds*, J. Differential Geometry

**17**(1982), no. 3, 357–453. MR

**679066**

**8.**

*Disciplining dunce hats in 4-manifolds*(unpublished manuscript).

**9.**

*Concerning upper semi-continuous collections of continua which do not separate a given continuum*, Proc. Nat. Acad. Sci. 10 (1924), 356-360.

*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

*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.**

*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