A countable minimal Urysohn space is compact

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

A First Countable, Initially Ω1-compact but Non-compact Space

We force a first countable, normal, locally compact, initially ω1-compact but non-compact space X of size ω2. The onepoint compactification of X is a non-first countable compactum without any (non-trivial) converging ω1-sequence.

متن کامل

Constructive Urysohn Universal Metric Space

We construct the Urysohn metric space in constructive setting without choice principles. The Urysohn space is a complete separable metric space which contains an isometric copy of every separable metric space, and any isometric embedding into it from a finite subspace of a separable metric space extends to the whole domain.

متن کامل

On nowhere first-countable compact spaces with countable π-weight

The minimum weight of a nowhere first-countable compact space of countable π-weight is shown to be κB, the least cardinal κ for which the real line R can be covered by κ many nowhere dense sets.

متن کامل

Menger probabilistic normed space is a category topological vector space

In this paper, we formalize the Menger probabilistic normed space as a category in which its objects are the Menger probabilistic normed spaces and its morphisms are fuzzy continuous operators. Then, we show that the category of probabilistic normed spaces is isomorphicly a subcategory of the category of topological vector spaces. So, we can easily apply the results of topological vector spaces...

متن کامل

Oscillation Stability of the Urysohn Metric Space

We outline general concepts of oscillation stability and distortion for spaces with action of a topological transformation group, and survey a number of examples. We observe that the universal Urysohn metric space U (viewed as a homogeneous factor-space of its group of isometries) is oscillation stable, that is, for every bounded uniformly continuous function f : U → R and each ε > 0 there is a...

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: 1969

ISSN: 0002-9939

DOI: 10.1090/s0002-9939-1969-0244942-1