Geodesic
Creating slowly oscillating sequences and slowly oscillating continuous functions
Acta mathematica Universitatis Comenianae, Tome 80 (2011) no. 1 
R. W. Vallin. Creating slowly oscillating sequences and slowly oscillating
continuous functions. Acta mathematica Universitatis Comenianae, Tome 80 (2011) no. 1. http://geodesic.mathdoc.fr/item/AMUC_2011_80_1_a5/
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     author = {R. W. Vallin},
     title = {Creating slowly oscillating sequences and slowly oscillating
continuous functions},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2011},
     volume = {80},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2011_80_1_a5/}
}
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Voir la notice de l'article provenant de la source Comenius University

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.