Results 181 to 190 of about 1,294 (213)
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On Boolean Algebras and their Recursive Completions
Mathematical Logic Quarterly, 1985Let B be a countable atomless Boolean algebra with a fixed bijective indexing \(\phi\) : \(\omega\to B\) such that the induced operations on \(\omega\) are recursive. An automorphism of B is said to be recursively presented if the induced permutation of \(\omega\) is recursive.
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Regular subalgebras of complete Boolean algebras
Journal of Symbolic Logic, 2001AbstractIt is proved that the following conditions are equivalent:(a) there exists a complete, atomless, σ–centered Boolean algebra, which does not contain any regular, atomless, countable subalgebra.(b) there exists a nowhere dense ultrafilter on ω.Therefore, the existence of such algebras is undecidable in ZFC.
Blaszczyk, Aleksander, Shelah, Saharon
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The Completion of a Boolean Algebra
1973For the following let X be a topological space, and let S ⊆ X be a subspace of X with the relative topology. The topological operations -, ° and -s, os refer to X and S respectively.
Gaisi Takeuti, Wilson M. Zaring
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Dense subtrees in complete Boolean algebras
Mathematical Logic Quarterly, 2006AbstractWe characterize complete Boolean algebras with dense subtrees. The main results show that a complete Boolean algebra contains a dense tree if its generic filter collapses the algebra's density to its distributivity number and the reverse holds for homogeneous algebras. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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Current treatment and future directions in the management of anal cancer
Ca-A Cancer Journal for Clinicians, 2022Leila T Tchelebi +2 more
exaly
Embedding of free Boolean algebras in complete Boolean algebras
Journal of Soviet Mathematics, 1975openaire +2 more sources
Completing Boolean Algebras by Nonstandard Methods
Mathematical Logic Quarterly, 1974openaire +2 more sources
Towards complete and error-free genome assemblies of all vertebrate species
Nature, 2021Arang Rhie +2 more
exaly

