Some decomposable continua and Whitney levels of their hyperspaces

Abstract

We introduce the new class of continua; D * * -continua. The classes of Wilder continua and D * -continua are strictly contained in the class of D * * -continua. Also, the class of D-continua is bigger than the class of D * *continua. Using D * * -continua, we give the negative answer to [2, Question 2]. Furthermore, we prove that being Wilder, being D, being D * and being D * * are Whitney properties.