Locally homeomorphic λ connected plane continua

Charles Lemuel Hagopian

Vol. 52 (1974), No. 2, 403–404

DOI: 10.2140/pjm.1974.52.403

Abstract

A continuum X is λ connected if each two of its points can be joined by a hereditarily decomposable subcontinuum of X. Suppose that X and Y are plane continua and that there is a local homeomorphism that sends X onto Y . It follows from Theorem 5 in [2] that Y is λ connected if X is λ connected. Here we prove that, conversely, if Y is λ connected, then X is λ connected.

Mathematical Subject Classification

Primary: 54F20

Milestones

Received: 13 November 1972

Published: 1 June 1974