Connectedness related to almost periodicity of compositions of flow homomorphisms

D.C. McMahon, J.C.S.P. Woude, van der, T.S. Wu

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

Consider homomorphisms ϕ : X → Y and ψ : Y → Z, where ϕ is open and N-to-one, ψ is almost periodic. In the paper by R. J Sacker and G. R. Sell, it was shown that, under a certain condition on the phase group, the composition ψ ∘ϕ : X → Z is almost periodic (provided that Z is trivial and X is minimal). In this paper almost periodicity of ψ ∘ ϕ is studied under connectedness conditions on the fibers of ψ. For instance it is shown that if ψ is almost periodic with connected fibers than ψ ⋅ ϕ is almost periodic. If ψ is locally almost periodic with locally connected fibers then ϕ ∘ ψ is locally almost periodic.
Original languageEnglish
Pages (from-to)127-148
Number of pages22
JournalPacific Journal of Mathematics
Volume128
Issue number1
DOIs
Publication statusPublished - 1987

Fingerprint

Dive into the research topics of 'Connectedness related to almost periodicity of compositions of flow homomorphisms'. Together they form a unique fingerprint.

Cite this