Group reflection and precompact paratopological groups

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

PRECOMPACT TOPOLOGICAL GENERALIZED GROUPS

In this paper, we introduce and study the notion of precompacttopological generalized groups and some new results are given.

متن کامل

About remainders in compactifications of paratopological groups

In this paper‎, ‎we prove a dichotomy theorem for remainders in‎ ‎compactifications of paratopological groups‎: ‎every remainder of a ‎paratopological group $G$ is either Lindel"{o}f and meager or‎ ‎Baire‎. Furthermore, ‎we give a negative answer to a question posed in [D‎. ‎Basile and A‎. ‎Bella‎, ‎About remainders in compactifications of homogeneous spaces‎, ‎Comment‎. ‎Math‎. ‎Univ‎. ‎Caroli...

متن کامل

THE GROUP Aut(μ) IS ROELCKE PRECOMPACT

Following a similar result of Uspenskij on the unitary group of a separable Hilbert space we show that with respect to the lower (or Roelcke) uniform structure the Polish group G = Aut(μ), of automorphisms of an atomless standard Borel probability space (X,μ), is precompact. We identify the corresponding compactification as the space of Markov operators on L2(μ) and deduce that the algebra of r...

متن کامل

Feebly compact paratopological groups and real-valued functions

We present several examples of feebly compact Hausdorff paratopological groups (i.e., groups with continuous multiplication) which provide answers to a number of questions posed in the literature. It turns out that a 2-pseudocompact, feebly compact Hausdorff paratopological group G can fail to be a topological group. Our group G has the Baire property, is Fréchet–Urysohn, but it is not precompa...

متن کامل

Lindelöf Σ-Spaces and R-Factorizable Paratopological Groups

We prove that if a paratopological group G is a continuous image of an arbitrary product of regular Lindelöf Σ-spaces, then it is R-factorizable and has countable cellularity. If in addition, G is regular, then it is totally ω-narrow and satisfies celω(G) ≤ ω, and the Hewitt–Nachbin completion of G is again an R-factorizable paratopological group.

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: Topological Algebra and its Applications

سال: 2013

ISSN: 2299-3231

DOI: 10.2478/taa-2013-0003