Nagata Dimension and Quasi-möbius Maps

نویسنده

  • XIANGDONG XIE
چکیده

We show that quasi-Möbius maps preserve the Nagata dimension of metric spaces, generalizing a result of U. Lang and T. Schlichenmaier (Int. Math. Res. Not. 2005, no. 58, 3625–3655).

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

DISCRETE GROUPS FROM A COARSE PERSPECTIVE By JUSTIN I. SMITH A DISSERTATION PRESENTED TO THE GRADUATE SCHOOL OF THE UNIVERSITY OF FLORIDA IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF DOCTOR OF PHILOSOPHY

of Dissertation Presented to the Graduate School of the University of Florida in Partial Fulfillment of the Requirements for the Degree of Doctor of Philosophy DISCRETE GROUPS FROM A COARSE PERSPECTIVE By Justin I. Smith May 2007 Chair: Alexander N. Dranishnikov Major: Mathematics We first use the functorial properties of coarse structures and coarse maps as well as algebraic properties to dedu...

متن کامل

Generalized Möbius Ladder and Its Metric Dimension

In this paper we introduce generalized Möbius ladder Mm,n and give its metric dimension. Moreover, it is observed that, depending on even and odd values of m and n, it has two subfamilies with constant metric dimensions.

متن کامل

Möbius Maps between Ultrametric Spaces Are Local Similarities

We show that Möbius maps between ultrametric spaces are local similarities. The proof is based on the notions of chordal ultrametric and normalization, which we introduce in this paper.

متن کامل

On the Conjugacy of Möbius Groups in Infinite Dimension

In this paper, we establish some conjugacy criteria of Möbius groups in infinite dimension by using Clifford matrices. This extends the corresponding known results in finite dimensional setting.

متن کامل

Nagata Compactification for Algebraic Spaces

We prove the Nagata compactification theorem for any separated map of finite type between quasi-compact and quasi-separated algebraic spaces, generalizing earlier results of Raoult. Along the way we also prove (and use) absolute noetherian approximation for such algebraic spaces, generalizing earlier results in the case of schemes. To the memory of Masayoshi Nagata

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2008