5 Result(s)
within
Robert Bonnet
Analysis
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Article
Vietoris hyperspaces over scattered Priestley spaces
We study Vietoris hyperspaces of closed and final sets of Priestley spaces. We are particularly interested in Skula topologies. A topological space is Skula if its topology is generated by differences of open ...
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Article
Chains of well-generated Boolean algebras whose union is not well-generated
A Boolean algebraB that has a well-founded sublattice which generatesB is called awell-generated Boolean algebra. Every well-generated Boolean algebra is superatomic. However, there are superatomic algebras which...
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Article
On a poset algebra which is hereditarily but not canonically well generated
LetB be a superatomic Boolean algebra.B is well generated, if it has a well founded sublatticeL such thatL generatesB. The free product of Boolean algebrasB andC is denoted byB *C. IfC is a chain thenB(C) denotes...
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Article
On a superatomic Boolean algebra which is not generated by a well-founded sublattice
Let b denote the unboundedness number of ωω. That is, b is the smallest cardinality of a subset \(F \subseteq \omega ^\omega \) ...
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Article
On HCO spaces. An uncountable compactT 2 space, different from ℵ1+1, which is homeomorphic to each of its uncountable closed subspaces, which is homeomorphic to each of its uncountable closed subspaces
LetX be an Hausdorff space. We say thatX is a CO space, ifX is compact and every closed subspace ofX is homeomorphic to a clopen subspace ofX, andX is a hereditarily CO space (HCO space), if every closed subspace...
