logo_acta

Acta Mathematica Vietnamica

ON BING'S QUESTION ABOUT FIXED POINT PROPERTY

icon-email LE HOANG TRI

Abstract

Bing [1] constructed a compactum X in R3 which has the fixed point property but XD does not, where D is a rectangle and XD is an interval. He also asked whether X×[0,1] has the fixed point property. In [4] Young gave a positive answer to this question. The aim of this note is to extend Young's result to the product X×A where A is a compact AR-space. The result does not hold if A is a compact fixed point space.