Albanian Journal of Mathematics (ISNN: 1930-1235), Vol 5, No 2 (2011)

Font Size:  Small  Medium  Large

The fixed point property of the products and hyperspaces of arboroids

Ivan Loncar

Abstract


This paper is motivated by the Cauty's result cauty which states that if X is a dendroid, then 2^{X} and C(X) have the fixed point property. The main purpose of this paper is to study the fixed point property of the hyperspaces of arboroids. It is proved, using the inverse systems method and Cauty's result, that if X is an arboroid and f:2^{X}→2^{X} is a mapping, then f has the fixed point property. Similar theorem it is proved for f:C(X)→C(X).

Full Text: PDF

Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.

Google+