A dense subsemigroup of S(R) generated by two elements
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A Synopsis of Elementary Results in Pure Mathematics [Book]
George Shoobridge Carr (1886)
A -porous set need not be -bilaterally porous
R. J. Nájares, Luděk Zajíček (1994)
Commentationes Mathematicae Universitatis Carolinae
A closed subset of the real line which is right porous but is not -left-porous is constructed.
Alternative definitions of -density topology
Luděk Zajíček (1987)
Acta Universitatis Carolinae. Mathematica et Physica
Analytic Baire spaces
A. J. Ostaszewski (2012)
Fundamenta Mathematicae
We generalize to the non-separable context a theorem of Levi characterizing Baire analytic spaces. This allows us to prove a joint-continuity result for non-separable normed groups, previously known only in the separable context.
Application of covering sets
Kandasamy Muthuvel (1999)
Colloquium Mathematicae
Arhangel'skiĭ sheaf amalgamations in topological groups
Boaz Tsaban, Lyubomyr Zdomskyy (2016)
Fundamenta Mathematicae
We consider amalgamation properties of convergent sequences in topological groups and topological vector spaces. The main result of this paper is that, for arbitrary topological groups, Nyikos’s property is equivalent to Arhangel’skiĭ’s formally stronger property α₁. This result solves a problem of Shakhmatov (2002), and its proof uses a new perturbation argument. We also prove that there is a topological space X such that the space of continuous real-valued functions on X with the topology...
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