A Self-Similar Dendrite with One-Point Intersection and Infinite Post-Critical Set

Andrei TETENOV; Prabhjot SİNGH

doi:https://doi.org/10.31197/atnaa.417783

Makale detayları

A Self-Similar Dendrite with One-Point Intersection and Infinite Post-Critical Set

Yazarlar:

Andrei TETENOV | Prabhjot SİNGH

Yayıncı:

Erdal KARAPINAR

Ana Başlıklar:

Matematik

Dergi:

Advances in the Theory of Nonlinear Analysis and its Application 2018 Vol.2 Issue 2, pp.70-73

Belge Tipi:

Makale

Yayın Tarihi:

6/2018

Belge Dili:

İngilizce

Document ID (Org No.):

2000842245

Sıklık:

Üç Aylık

eISSN:

2587-2648

DOI:

https://doi.org/10.31197/atnaa.417783

Özet:

 

We build an example of a system S of similarities in R^2 whose attractor is a plane dendrite K⊃[0,1]K⊃[0,1]K\supset [0,1] which satisfies one point intersection property, while the post-critical set of the system S is a countable set  whose natural projection to K is dense in the middle-third Cantor set.

Makale detayları

A Self-Similar Dendrite with One-Point Intersection and Infinite Post-Critical Set

Yazarlar: Andrei TETENOV | Prabhjot SİNGH

Yayıncı: Erdal KARAPINAR

Ana Başlıklar: Matematik

Dergi: Advances in the Theory of Nonlinear Analysis and its Application 2018 Vol.2 Issue 2, pp.70-73

Belge Tipi: Makale

Yayın Tarihi: 6/2018

Belge Dili: İngilizce

Document ID (Org No.): 2000842245

Sıklık: Üç Aylık

eISSN: 2587-2648

DOI: https://doi.org/10.31197/atnaa.417783

Sayı

Yazarlar:

Andrei TETENOV | Prabhjot SİNGH

Yayıncı:

Erdal KARAPINAR

Ana Başlıklar:

Matematik

Dergi:

Advances in the Theory of Nonlinear Analysis and its Application 2018 Vol.2 Issue 2, pp.70-73

Belge Tipi:

Makale

Yayın Tarihi:

6/2018

Belge Dili:

İngilizce

Document ID (Org No.):

2000842245

Sıklık:

Üç Aylık

eISSN:

2587-2648

DOI:

https://doi.org/10.31197/atnaa.417783