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Continuity in the density topology II

✍ Scribed by Krzysztof Ostaszewski


Book ID
112910741
Publisher
Springer Milan
Year
1983
Tongue
Italian
Weight
530 KB
Volume
32
Category
Article
ISSN
0009-725X

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In this paper we introduce the concepts of -open sets, -closure, R-nbd system, almost continuity and -continuity in fuzzifying topology and we give some characterizations of almost continuity and -continuity.

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For a locally compact Abelian (LCA) group G, let G + denote the group G endowed with its Bohr topology. With each piecewise affine map (defined below) ck of G into another LCA group H, we show that there is associated a continuous map c~ + of G + imo H Γ· which coincides with on a dense open subset o