ABSTRACT.The notion of fragmentability of a topological space is appeared in a paper of Jayne and Rogers. It turned out that this notion have interesting connection with other properties of Banach spaces, and attracted the attention of recent research workers. In this talk, we discuss about characterizations of fragmentability and a-fragment ability, which are obtained by N. Ribarska, kenderov and Moors. This notions have close connection with other topics in Banach spaces such as analytic spaces, the Radon-Nikodym property, differentiability of convex functions and Kadec renorming.

ABSTRACT.The notion of fragmentability of a topological space is appeared in a paper of Jayne and Rogers. It turned out that this notion have interesting connection with other properties of Banach spaces, and attracted the attention of recent research workers. In this talk, we discuss about characterizations of fragmentability and a-fragment ability, which are obtained by N. Ribarska, kenderov and Moors. This notions have close connection with other topics in Banach spaces such as analytic spaces, the Radon-Nikodym property, differentiability of convex functions and Kadec renorming.

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