p. 71 - 78 Creating slowly oscillating sequences and slowly oscillating continuous functions R. W. Vallin Received: March 10, 2010; Accepted: October 4, 2010 Abstract. This paper is a further study of slowly oscillating convergence and slowly oscillating continuity as introduced by Cakalli in [3]. We answer an open question from that paper and relate the slowly oscillating continuous functions to metric preserving functions, thus infusing this subject with a ready made collection of pathological examples. Keywords: slowly oscillating sequence; uniform continuity; metric preserving function AMS Subject classification: Primary: 26A15, 26A30 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 © 2011, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE |