Embeddings of the pseudo-arc in E2

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

In this paper, we show that there exists an embedding, Psof the pseudo-arc in the plane such that any two accessible points lie in distinct composants of Ps. We also show that there are c=2ω0 distinct embeddings of the pseudo-arc in the plane, including for each positive integer n, one with exactly n composants accessible. This answerssome questions and a conjecture of Brechner.

Original languageEnglish
Pages (from-to)115-120
Number of pages6
JournalPacific Journal of Mathematics
Volume93
Issue number1
DOIs
StatePublished - Mar 1981

Fingerprint Dive into the research topics of 'Embeddings of the pseudo-arc in E<sup>2</sup>'. Together they form a unique fingerprint.

Cite this