IJPAM: Volume 70, No. 2 (2011)
IDEAL EXHAUSTIVENESS, CONTINUITY AND
-CONVERGENCE FOR LATTICE
GROUP-VALUED FUNCTIONS

GROUP-VALUED FUNCTIONS
A. Boccuto
, X. Dimitriou
, N. Papanastassiou
, W. Wilczyński
Department of Mathematics and Computer Sciences
University of Perugia
1, Via Vanvitelli, I-06123 Perugia, ITALY
Department of Mathematics
University of Athens
Panepistimiopolis, Athens, 15784, GREECE
Faculty of Mathematics and Computer Sciences
University of Łódż
Banacha 22, PL-90238, Łódż, POLAND





University of Perugia
1, Via Vanvitelli, I-06123 Perugia, ITALY

University of Athens
Panepistimiopolis, Athens, 15784, GREECE

University of Łódż
Banacha 22, PL-90238, Łódż, POLAND
Abstract. We examine some fundamental properties of -exhaustiveness, previously studied in the real case in [#!PPW!#], in the context of
-groups with respect to
-convergence and we answer to an open problem posed by V. Gregoriades and N. Papanastassiou in [#!GP!#].
Received: April 8, 2011
AMS Subject Classification: 28B15, 54A20
Key Words and Phrases: -group, ideal, admissible ideal, good ideal, continuous convergence, (global) equicontinuity, (global) even continuity, ideal continuity, (global) ideal
-convergence, (global) ideal exhaustiveness, weak ideal exhaustiveness
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2011
Volume: 70
Issue: 2