On the Closure of the Bicyclic Semigroup

DOI10.2307/1995273zbMath0215.11701OpenAlexW4243140759MaRDI QIDQ5617794

Carl Eberhart, John Selden

Publication date: 1969

Full work available at URL: https://doi.org/10.2307/1995273

Mathematics Subject Classification ID

Structure of topological semigroups (22A15)

Related Items (32)

Topological graph inverse semigroups ⋮ On locally compact semitopological graph inverse semigroups ⋮ Embedding the bicyclic semigroup into countably compact topological semigroups ⋮ On a semitopological semigroup \(\boldsymbol{B}_{\omega}^{\mathscr{F}}\) when a family \(\mathscr{F}\) consists of inductive non-empty subsets of \(\omega \) ⋮ Profunctors between posets and Alexander duality ⋮ On a locally compact monoid of cofinite partial isometries of \(\mathbb{N}\) with adjoined zero ⋮ On a complete topological inverse polycyclic monoid ⋮ Locally compact bisimple inverse semigroups ⋮ On the closure of \(B^ 2_{(-\infty,\infty)}\) ⋮ The monoid of order isomorphisms between principal filters of \(\mathbb{N}^n\) ⋮ On locally compact shift-continuous topologies on the \(\alpha\)-bicyclic monoid ⋮ On the lattice of weak topologies on the bicyclic monoid with adjoined zero ⋮ Semilattice of topological groups ⋮ Brandt extensions and primitive topological inverse semigroups ⋮ Free topological inverse semigroups ⋮ On the Brandt \(\lambda^0\)-extensions of monoids with zero. ⋮ On the closure of bisimple \(\omega\)-semigroups ⋮ Hausdorff topologies on the \(\alpha\)-bicyclic semigroup ⋮ On locally compact semitopological O-bisimple inverse \(\omega\)-semigroups ⋮ The kernel of the determining endomorphism of a bisimple \(\omega\)- semigroup ⋮ Embedding of graph inverse semigroups into CLP-compact topological semigroups ⋮ Pseudocompactness, Products, and Topological Brandt λ0 -Extensions of Semitopological Monoids ⋮ On the closure of the bicyclic semigroup ⋮ On locally compact topological graph inverse semigroups ⋮ The continuity of the inversion and the structure of maximal subgroups in countably compact topological semigroups ⋮ On the closure of B'(0,infinity) ⋮ The \(\alpha\)-bicyclic semigroup as a topological semigroup ⋮ A nonlocally compact nondiscrete topology for the \(\alpha\)-bicyclic semigroup ⋮ On topological McAlister semigroups ⋮ Conditionally Compact Semitopological One-Parameter Inverse Semigroups of Partial Isometries ⋮ Swelling actions of \(\Gamma\)-compact semigroups ⋮ On the closure of \(B^ 1_{[0,\infty)}\)

Cites Work

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• A Note on the Continuity of the Inverse
• Some Results on Stability in Semigroups

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