Whitney continua in the hyperspace C(X)

James Ted Rogers Jr.

Vol. 58 (1975), No. 2, 569–584

DOI: 10.2140/pjm.1975.58.569

Abstract

Let C(X) denote the hyperspace of subcontinua of the continuum X, and let μ : C(X) → [0,1] be a Whitney function. The purpose of this paper is to investigate whether certain properties of X are inherited by the continua μ⁻¹(t).

Mathematical Subject Classification 2000

Primary: 54F20

Secondary: 54B20

Milestones

Received: 19 April 1974

Published: 1 June 1975