International Journal of Mathematics and Mathematical Sciences
Volume 15 (1992), Issue 2, Pages 273-277
doi:10.1155/S0161171292000358
Derived length for arbitrary topological spaces
A.J. Jayanthan
School of Mathematics and Computer/Information Sciences, University of Hyderabad, Central University P.O., Hyderabad 500 134, India
Abstract
The notion of derived length is as old as that of ordinal numbers itself. It is also known as the Cantor-Bendixon length. It is defined only for dispersed (that is scattered) spaces. In this paper this notion has been extended in a natural way for all topological spaces such that all its pleasing properties are retained. In this process we solve a problem posed by V. Kannan. ([1] Page 158).