3 citations · 7 across the 10 of their papers we have counts for
5 papers · 1 filter
Irreducible Quotient Maps From Locally Compact Separable Metric Spaces
Aldo J. Lazar, Douglas W. B. Somerset
Let X be a Hausdorff quotient of a standard space (that is of a locally compact separable metric space). It is shown that the following are equivalent: (i) X is the image of an irr…
Pure quotients and Morita's theorem for $k_ω-spaces
Aldo J. Lazar, Douglas W. B. Somerset
A -space is a Hausdorff quotient of a locally compact, -compact Hausdorff space. A theorem of Morita's describes the structure of when the quotient map is closed, b…
The structure of k_ω spaces and a question of Arhangel'skii's
A. J. Lazar, D. W. B. Somerset
In 2010 a question of Arhangel'skii's highlighted a gap in the knowledge of k_ω-spaces. His specific question had in fact been answered by Siwiec in 1976, but the highlighted gap s…
Quotient Spaces Determined by Algebras of Continuous Functions
Aldo J. Lazar
we prove that if is a locally compact -compact space then on its quotient, say, determined by the algebra of all real valued bounded continuous functions on , the…
Hyperspaces of Closed Limit Sets
Aldo J. Lazar
We study Michael's lower semifinite topology and Fell's topology on the collection of all closed limit subsets of a topological space. Special attention is given to the subfamily o…