General Formulations of Some Theorems of Cluster
                Sets

A. K. Layek

doi:rae/1230995422

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Home > Journals > Real Anal. Exchange > Volume 25 > Issue 2 > Article

1999/2000 General Formulations of Some Theorems of Cluster Sets

A. K. Layek

Real Anal. Exchange 25(2): 887-898 (1999/2000).

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Abstract

Two theorems on symmetry properties of cluster sets relative to a grill for the domain of the functions are proved here. One of these contains a result of Young [8] and its analogue for qualitative and other cluster sets. (Wilczynski [7] introduced the notion of qualitative cluster sets.) The other contains a result of Erdös and Piranian [2], one of Dolzhenko [1], and analogous results for other cluster sets