Remarks on piecewise-linear algebra

Eduardo Daniel Sontag

Vol. 98 (1982), No. 1, 183–201

DOI: 10.2140/pjm.1982.98.183

Abstract

This note studies some of the basic properties of the category whose objects are finite unions of (open and closed) polyhedra and whose morphisms are (not necessarily continuous) piecewise-linear maps.

Mathematical Subject Classification 2000

Primary: 52A25, 52A25

Secondary: 18B99, 52A01, 57Q99

Milestones

Received: 19 November 1979

Revised: 22 January 1981

Published: 1 January 1982