ACTA MATHEMATICA
UNIVERSITATIS COMENIANAE




Vol. LXXIX, 1 (2010)
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  



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Acta Mathematica Universitatis Comenianae
ISSN 0862-9544   (Printed edition)

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