STRATIFIED LATTICE-VALUED BALANCED NEIGHBORHOOD TOPOLOGICAL GROUPS
The aim of this article is to introduce the notion of stratified lattice-valued balanced neighborhood topological group. We also introduce the notions of equicontinuity in stratified lattice-valued neighborhood topological space, and uniform equicontinuity in stratified lattice-valued uniform space. We use these notions to characterize stratified lattice-valued neighborhood topological groups. Moreover, introducing the notions of lattice-valued neighborhood open function and lattice-valued uniformly open function, we show that in a stratified lattice-valued neighborhood topological group these notions are equivalent. Finally, we conclude with a characterization of balanced stratified lattice-valued neighborhood topological group in terms of uniform continuity of binary group operation.
Year of publication: |
2012
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Authors: | AL-MUFARRIJ, JAWAHER |
Published in: |
New Mathematics and Natural Computation (NMNC). - World Scientific Publishing Co. Pte. Ltd., ISSN 1793-7027. - Vol. 08.2012, 02, p. 153-166
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Publisher: |
World Scientific Publishing Co. Pte. Ltd. |
Subject: | Lattice-valued neighborhood topological group | lattice-valued uniform space | lattice-valued equicontinuity | lattice-valued uniform equicontinuity | lattice-valued neighborhood open function | lattice-valued uniformly open function |
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