Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4660076 | Topology and its Applications | 2011 | 10 Pages |
Abstract
Let A be an algebra and J⊂A an ideal of subsets of a group 〈X,+〉 with an invariant topology τ. We say that a triple 〈A,J,τ〉 has the Smital property if, for any set A∈A∖J and any set D dense in τ, the set c(A+D) belongs to J. In the paper we compare this property and similar ones with the well-known Steinhaus type properties. We consider several weak and strong versions of Smital properties.
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