Fans with the property of Kelley (Q1105225)

The authors study the class of fans by proving that fans with the property of Kelley (i.e., for each \(x\in X\), for each sequence \(x_ n\to x\) and for each \(K\in C(x,X)\), there exists a sequence of continua \(K_ n\in C(x_ n,X)\) converging to K) are inverse limits of finite fans with confluent bonding maps.