AbstractA wild Cantor set in S3 is constructed with simply connected complement. It is proved that a Cantor set C ⊂ S3 is tame if and only if every piecewise-linear, unknotted, simple loop in S3⧹C may be engulfed. And a Cantor set C ⊂ S3 is tame if and only if π1(S3⧹C⧹K) is finitely generated for all piecewise-linear, unknotted, simple loops K in S3⧹C
Abstract. A generating IFS of a Cantor set F is an IFS whose attractor is F. For a given Cantor set ...
The Cantor set Ω is a rather remarkable subset of [0, 1]. It provides us with a wealth of interestin...
Abstract. For each Cantor set C in R3, all points of which have bounded local genus, we show that th...
AbstractA wild Cantor set in S3 is constructed with simply connected complement. It is proved that a...
Abstract. We prove that there exist uncountably many inequivalent rigid wild Cantor sets in R3 with ...
General techniques are developed for constructing Lipschitz homogeneous wild Cantor sets in R3. Thes...
In 1921 Antoine constructed the first example of a wild Cantor set. A wild Cantor set is a subset of...
In 1921 Antoine constructed the first example of a wild Cantor set. A wild Cantor set is a subset of...
AbstractEach Cantor set can have many essentially different defining sequences and there is no canon...
Abstract. For a very simple family of self-similar sets with two pieces we prove, using a technique ...
This is an author's peer-reviewed final manuscript, as accepted by the publisher. The published arti...
In 1921 Antoine constructed the first example of a wild Cantor set. A wild Cantor set is a subset of...
AbstractThe main result establishes a technique for constructing wildly embedded Cantor sets in Eucl...
concerned with the (previously known) fact that C + C = [0, 2] where C is the Cantor ternary set. Th...
Abstract. A generating IFS of a Cantor set F is an IFS whose attractor is F. For a given Cantor set ...
Abstract. A generating IFS of a Cantor set F is an IFS whose attractor is F. For a given Cantor set ...
The Cantor set Ω is a rather remarkable subset of [0, 1]. It provides us with a wealth of interestin...
Abstract. For each Cantor set C in R3, all points of which have bounded local genus, we show that th...
AbstractA wild Cantor set in S3 is constructed with simply connected complement. It is proved that a...
Abstract. We prove that there exist uncountably many inequivalent rigid wild Cantor sets in R3 with ...
General techniques are developed for constructing Lipschitz homogeneous wild Cantor sets in R3. Thes...
In 1921 Antoine constructed the first example of a wild Cantor set. A wild Cantor set is a subset of...
In 1921 Antoine constructed the first example of a wild Cantor set. A wild Cantor set is a subset of...
AbstractEach Cantor set can have many essentially different defining sequences and there is no canon...
Abstract. For a very simple family of self-similar sets with two pieces we prove, using a technique ...
This is an author's peer-reviewed final manuscript, as accepted by the publisher. The published arti...
In 1921 Antoine constructed the first example of a wild Cantor set. A wild Cantor set is a subset of...
AbstractThe main result establishes a technique for constructing wildly embedded Cantor sets in Eucl...
concerned with the (previously known) fact that C + C = [0, 2] where C is the Cantor ternary set. Th...
Abstract. A generating IFS of a Cantor set F is an IFS whose attractor is F. For a given Cantor set ...
Abstract. A generating IFS of a Cantor set F is an IFS whose attractor is F. For a given Cantor set ...
The Cantor set Ω is a rather remarkable subset of [0, 1]. It provides us with a wealth of interestin...
Abstract. For each Cantor set C in R3, all points of which have bounded local genus, we show that th...
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