Glasnik Matematicki, Vol. 39, No.1 (2004), 171-183.

SPANS OF CONTINUA RELATED TO INDENTED CIRCLES

Thelma West

Abstract.   Let X be a special type of simple closed curve in the plane known as an indented circle. Let Y be a continuum which is contained in X ∪ V, where V is the bounded component of R² - X. We show that τ(Y) ≤ τ(X) where τ is the span σ surjective span σ*, semispan σ₀, surjective semispan σ₀*, symmetric span s or the surjective symmetric span s*.

2000 Mathematics Subject Classification.   54F15.

Key words and phrases.   Continua, simple closed curves, indented circles.