5 Jordan Domains Are Cat ( 0 ) Richard

نویسنده

  • RICHARD L. BISHOP
چکیده

For a Jordan domain in the plane the length metric space of points connected to an interior point by a curve of finite length is a cat(0) space. With respect to the cone topology, that space plus its boundary at infinity is topologically the same as the original Jordan domain.

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

6 Jordan Domains Are Cat ( 0 ) Richard

For a Jordan domain in the plane the length metric space of points connected to an interior point by a curve of finite length is a cat(0) space. With respect to the cone topology, that space plus its boundary at infinity is topologically the same as the original Jordan domain.

متن کامل

The Intrinsic Geometry of a Jordan Domain

For a Jordan domain in the plane the length metric space of points connected to an interior point by a curve of finite length is a cat(0) space and Gromov hyperbolic. With respect to the cone topology, that space plus its boundary at infinity is topologically the same as the original Jordan domain.

متن کامل

Pursuit and Evasion in Non-convex Domains of Arbitrary Dimensions

Most results in pursuit-evasion games apply only to planar domains or perhaps to higher-dimensional domains which must be convex. We introduce a very general set of techniques to generalize and extend certain results on simple pursuit to non-convex domains of arbitrary dimension which satisfy a coarse curvature condition (the CAT(0) condition). I. PURSUIT / EVASION There is a significant litera...

متن کامل

Total Curvature and Simple Pursuit on Domains of Curvature Bounded Above

We show how circumradius and asymptotic behavior of curves in CAT(0) and CAT(K) spaces (K > 0) are controlled by growth rates of total curvature. We apply our results to pursuit and evasion games of capture type with simple pursuit motion, generalizing results that are known for convex Euclidean domains, and obtaining results that are new for convex Euclidean domains and hold on playing fields ...

متن کامل

Catalytic properties of two Rhizopus oryzae 99-880 glucoamylase enzymes without starch binding domains expressed in Pichia pastoris.

Catalytic properties of two glucoamylases, AmyC and AmyD, without starch binding domains from Rhizopus oryzae strain 99-880 are determined using heterologously expressed enzyme purified to homogeneity. AmyC and AmyD demonstrate pH optima of 5.5 and 6.0, respectively, nearly one unit higher than the Rhizopus AmyA glucoamylase enzyme. Optimal initial activities are at 60 and 50 °C for AmyC and Am...

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 2005