Glasnik matematički, Vol. 41 No. 1, 2006.
Original scientific paper
On linking of Cantor sets
Matjaž Željko
Abstract
We introduce a property L for a subset of a manifold which enables us to pass the geometric linking property from the manifold to this subset. We prove that cubes with handles M and N are linked if and only if subsets X ⊂ Int M and Y ⊂ Int N having property L are linked. We present a criterion which shows that many known Cantor sets explicitly given by defining sequences have this property. As an application of the property L we extend the theorem on rigid Cantor sets thus allowing slightly more complicated terms in their defining sequences.
Keywords
Geometric linking; Cantor set; defining sequence; rigid Cantor set
Hrčak ID:
3307
URI
Publication date:
24.5.2006.
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