On embedding semiflows into a radial flow on l₂

Roger McCann

Vol. 97 (1981), No. 1, 151–158

DOI: 10.2140/pjm.1981.97.151

Abstract

Let π be a semiflow on a separable metric space X such that the negative escape time function is lower semicontinuous and x → xπt is a one-to-one mapping for each t ∈ R⁺. If π has a globally uniformly asymptotically stable critical point, then π can be embedded into a radial flow on l₂. This generalizes known results on embedding flows or semiflows into radial flows on l₂.

Mathematical Subject Classification 2000

Primary: 54H20

Milestones

Received: 12 June 1980

Revised: 2 September 1980

Published: 1 November 1981