A remark on singularity of homeomorphisms and Hausdorff dimension

Chun WEI; Shengyou WEN

Makale detayları

A remark on singularity of homeomorphisms and Hausdorff dimension

Yazarlar:

Chun WEI | Shengyou WEN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2016 Vol.40 Issue 4, pp.784-788

Belge Tipi:

Makale

Yayın Tarihi:

7/2016

Belge Dili:

Türkçe

Document ID (Org No.):

2000746936

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

We prove that there  is a homeomorphism of the unit interval onto itself that is so  singular that it maps some set EEE of dimHE=0dimH⁡E=0\dim_HE=0 onto a set FFF of  dimH[0,1]∖F=0dimH⁡[0,1]∖F=0\dim_H[0,1]\setminus F=0.

Makale detayları

A remark on singularity of homeomorphisms and Hausdorff dimension

Yazarlar: Chun WEI | Shengyou WEN

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2016 Vol.40 Issue 4, pp.784-788

Belge Tipi: Makale

Yayın Tarihi: 7/2016

Belge Dili: Türkçe

Document ID (Org No.): 2000746936

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Chun WEI | Shengyou WEN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2016 Vol.40 Issue 4, pp.784-788

Belge Tipi:

Makale

Yayın Tarihi:

7/2016

Belge Dili:

Türkçe

Document ID (Org No.):

2000746936

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098