3 citations · 7 across the 10 of their papers we have counts for
13 papers
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…
Properties of the Space of Sections of Some Banach Bundles
Aldo J. Lazar
One shows for Banach bundles in a certain class that having a second countable locally compact Hausdorff base space and separable fibers implies the separability of the Banach spac…
A Selection Theorem for Banach Bundles and Applications
Aldo J. Lazar
It is shown that certain lower semi-continuous maps from a paracompact space to the family of closed subsets of the bundle space of a Banach bundle admit continuous selections. Thi…
Glimm Spaces of Separable C*-algebras
Aldo J. Lazar, Douglas W. B. Somerset
We characterize the topology of the Glimm space of a separable C*-algebra and extend the main result of [6] to non-unital AF C*-algebras.