On stably convergence index of a sequence of real-valued functions
Atok Zulijanto

Department of Mathematics, Universitas Gadjah Mada

Abstract

In this paper, we introduce an ordinal index of a sequence of real-valued functions on a metrizable space, called the stably convergence index. The stably convergence index has some similar properties with convergence index. We also prove that for any ordinal number &#120573-<&#120596-1, using stably convergence index, we obtain a finer gradation on the class of all real-valued functions with convergence index &#120573-.

Keywords: stably convergence index, convergence index.

Topic: Others