Add to ORKGIf Lambda is a nondegenerate planar continuum and f : Gamma --> Gamma is a homeomorphism which is not the identity, there exists an embedding phi : Gamma --> R³ such that OE ffi f ffi OE \Gamma1 cannot be extended to a homeomorphism of all of R³. The proof of this result is used to show the existence of an embedding psi : Gamma --> R³ which cannot be extended to a homeomorphism Psi : R³ --> R³. Lastly, there exists a new wild "Cantor fence" in R³
Abstract. Let D be a Jordan domain in R'. Then a homeomorphism å: åD* +§r-1 extends to a homeom...
Abstract. A homeomorphism h: X → X is called expansive provided that for some fixed c> 0 and ever...
A contimuum means a compact connected metrif space. A continuun is said to be circle-like if it is r...
AbstractLet C ⊂ R be a compact totally disconnected subset of the real line R and [0, 1] ⊂ R, the cl...
In this survey, we consider several questions pertaining to homeomorphisms, including criteria for t...
AbstractIn our previous paper, we introduced the notion of continuum-wise expansive homeomorphisms w...
AbstractAlmost periodic but not periodic maps are constructed on a solenoid and on a “pseudosolenoid...
For a given mapping f between continua we consider the induced mappings between the corresponding hy...
Dedicated to the memory of Dieter Gaier Abstract. The geometry of a Jordan domain D is encoded in pr...
Abstract. It is shown that if X is a chainable continuum and h: X − → X is a homeomorphism such that...
Abstract. A homeomorphism h : X → X is called expansive provided that for some fixed c > 0 and ev...
H. Cook classified the solenoids in [2]. He showed that there exists a family 5 if solenoids such th...
Abstract. A chainable continuum X is constructed with the following properties: (1) for every ∈ [0...
Abstract. An arc-like continuum X is constructed with the following properties: (1) for every ∈ [0...
ABSTRACT. It is proved among other things that every mapping from a subcontinuum of an hereditarily ...
Abstract. Let D be a Jordan domain in R'. Then a homeomorphism å: åD* +§r-1 extends to a homeom...
Abstract. A homeomorphism h: X → X is called expansive provided that for some fixed c> 0 and ever...
A contimuum means a compact connected metrif space. A continuun is said to be circle-like if it is r...
AbstractLet C ⊂ R be a compact totally disconnected subset of the real line R and [0, 1] ⊂ R, the cl...
In this survey, we consider several questions pertaining to homeomorphisms, including criteria for t...
AbstractIn our previous paper, we introduced the notion of continuum-wise expansive homeomorphisms w...
AbstractAlmost periodic but not periodic maps are constructed on a solenoid and on a “pseudosolenoid...
For a given mapping f between continua we consider the induced mappings between the corresponding hy...
Dedicated to the memory of Dieter Gaier Abstract. The geometry of a Jordan domain D is encoded in pr...
Abstract. It is shown that if X is a chainable continuum and h: X − → X is a homeomorphism such that...
Abstract. A homeomorphism h : X → X is called expansive provided that for some fixed c > 0 and ev...
H. Cook classified the solenoids in [2]. He showed that there exists a family 5 if solenoids such th...
Abstract. A chainable continuum X is constructed with the following properties: (1) for every ∈ [0...
Abstract. An arc-like continuum X is constructed with the following properties: (1) for every ∈ [0...
ABSTRACT. It is proved among other things that every mapping from a subcontinuum of an hereditarily ...
Abstract. Let D be a Jordan domain in R'. Then a homeomorphism å: åD* +§r-1 extends to a homeom...
Abstract. A homeomorphism h: X → X is called expansive provided that for some fixed c> 0 and ever...
A contimuum means a compact connected metrif space. A continuun is said to be circle-like if it is r...