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

### SPANS OF CONTINUA RELATED TO INDENTED CIRCLES

### Thelma West

University of Louisiana at Lafayette, Lafayette, Louisiana, USA

*e-mail:* `thelmarwest@yahoo.com`

**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
**R**^{2} - *X*.
We show that
τ(*Y*)
≤ τ(*X*)
where τ is the
span σ surjective span σ*, semispan
σ_{0},
surjective semispan
σ_{0}*,
symmetric span *s* or the surjective
symmetric span *s**.

**2000 Mathematics Subject Classification.**
54F15.

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

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