Some remarks on totally imperfect sets

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Some Remarks on Connected Sets

This note will consist of a few disconnected remarks on connected sets . i. Swingle2 raised the question whether the plane is the sum of c disjoint biconnected sets . The answer as we shall show is affirmative . First we construct a biconnected set A with a dispersion point x such that any two points of A -x can be separated . (The first such set was constructed by Wilder.-' Our construction wi...

متن کامل

Some remarks on good sets

It is shown that (1) if a good set has finitely many related components, then they are full, (2) loops correspond one-to-one to extreme points of a convex set. Some other properties of good sets are discussed.

متن کامل

Some remarks about Cantor sets

The classical middle-thirds Cantor set can be described as follows. Start by taking C 0 = [0, 1], the unit interval in the real line. Then put which is to say that one removes the open middle third from the unit interval to get a union of two disjoint closed intervals of length 1/3. By repeating the process one gets for each nonnegative integer j a subset C j of the unit interval which is a uni...

متن کامل

Some remarks on Heisenberg frames and sets of equiangular lines

We consider the long standing problem of constructing d equiangular lines in C, i.e., finding a set of d unit vectors (φj) in C d with |〈φj , φk〉| = 1 √ d + 1 , j 6= k. Such ‘equally spaced configurations’ have appeared in various guises, e.g., as complex spherical 2–designs, equiangular tight frames, isometric embeddings `2(d) → `4(d), and most recently as SICPOVMs in quantum measurement theor...

متن کامل

Some Remarks on the Measurability of Certain Sets

The present note contains some elementary remarks on sets defined by simple geometric properties. Our main tool will be the Lebesgue density theorem. First we introduce a few notations : d(a, b) denotes the distance from a to b and Six, r) the open sphere of center x and radius r. A point x of a set A is said to be of metric density 1 if to every e there exists a ô such that AC\S{x, r) , r < 5,...

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

ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 2003

ISSN: 0002-9939,1088-6826

DOI: 10.1090/s0002-9939-03-06997-1