Total boundedness and bornologies

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

Almost Periodicity, Equi-continuity and Total Boundedness

Let X be a uniform space; that is to say, let X be a space provided with a system of indexed neighborhoods Ua(x) (x(EX, a=index), subject to the conditions (A. Weil) : (1) If xÇzX and if a is an index, then xÇzUa(x)\ (2) If a and /? are indices, then there exists an index y such that xÇzX implies U7(x)ÇZUa(x)r\Up(x); (3) If a is an index, then there exists an index /? such that x, y, zÇzX with ...

متن کامل

Completeness and Total Boundedness of the Hausdorff Metric

This paper defines and discusses the Hausdorff metric on the space of nonempty, closed, and bounded subsets of a given metric space. We consider two important topological properties, completeness and total boundedness. We prove that each of these properties is posessed by a Hausdorff metric space if the property is possesed by the underlying metric space. Finally, we explore applications of the...

متن کامل

Precompactness and Total Boundedness in Products of Metric Spaces

We show that the canonical quantifications of uniform properties such as precompactness and total boundedness, which were already studied by Kuratowski and Hausdorff in the setting of complete metric spaces, can be generalized in the setting of products of metric spaces in an intuitively appealing way. 2000 Mathematics Subject Classification. 54E15, 18B30.

متن کامل

Control Functions and Total Boundedness in the Space L0

In this paper we introduce a parameter ω∞ in the space of functions L0. The parameter measures the lack of equimeasurability using a sequence of functions which controls the oscillations of every function of a given subset of L0. We estimate the Hausdorff measure of noncompactness in terms of ω∞ and the parameter σ (see [3]) and characterize the totally bounded subsets of L0. A criterion of com...

متن کامل

Compatible topologies and bornologies on modules

Compatible topologies and bornologies on modules are introduced and studied.

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: Topology and its Applications

سال: 2009

ISSN: 0166-8641

DOI: 10.1016/j.topol.2008.12.030