P. Letavaj Received: May 11, 2010; Revised: September 2, 2010; Accepted: September 10, 2010 Abstract. We will deal with the sequences of points of a metric space. We will introduce I-convergence to a set and give a sufficient condition to a sequence be I-convergent to a set. A connection between this "limit set" and the set of I-cluster points is investigated. Keywords: Ideal convergence; minimal closed set; cluster point AMS Subject classification: Primary: 40A35 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 |