Direct limit groups and the Keesling-Mardešić shape fibration

Kenneth R. Goodearl and Thomas Benny Rushing

Vol. 86 (1980), No. 2, 471–476

DOI: 10.2140/pjm.1980.86.471

Abstract

We show that the Keesling-Mardešić shape fibration has an uncountable number of fibers of different shape type. This is done by showing that an uncountable number of nonisomorphic groups can arise as direct limits of direct limit sequences having all groups Z⊕Z and all bonding homomorphisms given by one of the two matrices or .

Mathematical Subject Classification 2000

Primary: 55R65

Secondary: 55P55

Milestones

Received: 30 March 1979

Published: 1 February 1980