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 کاملNotes on Classical Groups
These notes are the content of an M.Sc. course I gave at Queen Mary and Westfield College, London, in January–March 2000. I am grateful to the students on the course for their comments; to Keldon Drudge, for standing in for me; and to Simeon Ball, for helpful discussions.
متن کاملNotes on Cyclic Groups
is a (abelian) subgroup of G. From this point on we will use the exponent laws without particular reference. The group G is cyclic if G = for some a ∈ G in which case a is said to generate G. Since = for all a ∈ G, if G is cyclic and generated by a then G is also generated by a−1. Suppose that the binary operation of G is written additively. Then the notation n·a, or na, is used i...
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2013
ISSN: 0166-8641
DOI: 10.1016/j.topol.2013.05.016