Vol. 52, No. 2, 1974

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Locally homeomorphic λ connected plane continua

Charles Lemuel Hagopian

Vol. 52 (1974), No. 2, 403–404
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
Authors
Charles Lemuel Hagopian