International Journal of Mathematics and Mathematical Sciences
Volume 22 (1999), Issue 4, Pages 709-712
doi:10.1155/S0161171299227093

Subsequences and category

Robert R. Kallman

Department of Mathematics, University of North Texas, P. O. Box 305118, Denton 76203-5118, Texas, USA

Abstract

If a sequence of functions diverges almost everywhere, then the set of subsequences which diverge almost everywhere is a residual set of subsequences.