Representations by algebras of sections over Boolean spaces

Stephen Daniel Comer

Vol. 38 (1971), No. 1, 29–38

DOI: 10.2140/pjm.1971.38.29

Abstract

Every universal algebra is representable (in a trivial way) as the algebra of all continuous sections of many nonisomorphic sheaves (even over Boolean spaces). It is shown that on algebra, satisfying certain conditions specified below, can be represented as the algebra of all sections of a special kind of sheaf called a reduced sheaf. In addition, it is shown that the only reduced sheaf (up to isomorphism) whose sections represent an algebra satisfying the specified conditions is the one constructed in the standard way.

Mathematical Subject Classification

Primary: 08A25

Milestones

Received: 14 July 1970

Published: 1 July 1971