Vol. 84, No. 1, 1979

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ISSN: 0030-8730
There are 2c nonhomeomorphic continua in βRn Rn

Alicia B. Winslow

Vol. 84 (1979), No. 1, 233–239
Abstract

In this paper it is shown that for n 3, βRn Rn contains 2c nonhomeomorphic continua. In the proof we will also construct c continua in βR3 R3 with nonisomorphic first Cech cohomology groups and 2c compacta in βR3 R3 no two of which have the same shape.

Mathematical Subject Classification 2000
Primary: 54D40
Secondary: 54F15, 54F43
Milestones
Received: 9 August 1978
Revised: 18 December 1978
Published: 1 September 1979
Authors
Alicia B. Winslow