p. 217 - 224 On some properties of a function connecting with an infinite series D. K. Ganguly, A. Dafadar and B. Biswas Received: July 16, 2009; Revised: October 11, 2009; Accepted: November 5, 2009 Abstract. An attempt has been made in this paper to investigate some set theoretic properties of a function suitably defined on the space of all sequences of non-negative real numbers endowed with Fr chet metric. Keywords: Borel classification of sets; first category; residual sets; first Baire class of sets and Darboux property. AMS Subject classification: Primary: 40A05 PDF Compressed Postscript Version to read ISSN 0862-9544 (Printed edition) Faculty of Mathematics, Physics and Informatics Comenius University 842 48 Bratislava, Slovak Republic Telephone: + 421-2-60295111 Fax: + 421-2-65425882 e-Mail: amuc@fmph.uniba.sk Internet: www.iam.fmph.uniba.sk/amuc © 2010, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE |