Continua in the Stone-Čech remainder of R²

Alicia B. Winslow

Vol. 90 (1980), No. 1, 45–49

DOI: 10.2140/pjm.1980.90.45

Abstract

In this paper it is shown that βR² − R² contains 2^c nonhomeomorphic continua. This extends the result already known for dimension three and greater.

Mathematical Subject Classification 2000

Primary: 54D40

Secondary: 54F15

Milestones

Received: 21 March 1979

Published: 1 September 1980