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On linking of Cantor sets

Matjaž Željko


Puni tekst: engleski pdf 420 Kb

str. 165-176

preuzimanja: 236

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Sažetak

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.

Ključne riječi

Geometric linking; Cantor set; defining sequence; rigid Cantor set

Hrčak ID:

3307

URI

https://hrcak.srce.hr/3307

Datum izdavanja:

24.5.2006.

Posjeta: 616 *