منابع مشابه
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 کاملLindelöf 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 کاملFeebly 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 کاملar X iv : 0 81 0 . 30 28 v 1 [ m at h . G N ] 1 6 O ct 2 00 8 OSCILLATOR TOPOLOGIES ON A PARATOPOLOGICAL GROUP AND RELATED NUMBER INVARIANTS
We introduce and study oscillator topologies on paratopological groups and define certain related number invariants. As an application we prove that a Hausdorff paratopological group G admits a weaker Hausdorff group topology provided G is 3-oscillating. A paratopological group G is 3-oscillating (resp. 2-oscillating) provided for any neighborhood U of the unity e of G there is a neighborhood V...
متن کاملOn local gamma factors for orthogonal groups and unitary groups
In this paper, we find a relation between the proportionality factors which arise from the functional equations of two families of local Rankin-Selberg convolutions for irreducible admissible representations of orthogonal groups, or unitary groups. One family is that of local integrals of the doubling method, and the other family is that of local integrals expressed in terms of sph...
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2012
ISSN: 0166-8641
DOI: 10.1016/j.topol.2012.03.003