[Merged by Bors] - feat(Topology/Order/LawsonTopology): Introduce the Lawson Topology to Mathlib#11710
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[Merged by Bors] - feat(Topology/Order/LawsonTopology): Introduce the Lawson Topology to Mathlib#11710
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Co-authored-by: Yaël Dillies <yael.dillies@gmail.com>
Co-authored-by: Yaël Dillies <yael.dillies@gmail.com>
Co-authored-by: Yaël Dillies <yael.dillies@gmail.com>
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Co-authored-by: Yaël Dillies <yael.dillies@gmail.com>
Co-authored-by: Yaël Dillies <yael.dillies@gmail.com>
Co-authored-by: Yaël Dillies <yael.dillies@gmail.com>
Co-authored-by: Yaël Dillies <yael.dillies@gmail.com>
Co-authored-by: Yaël Dillies <yael.dillies@gmail.com>
Co-authored-by: Yaël Dillies <yael.dillies@gmail.com>
YaelDillies
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Co-authored-by: Yaël Dillies <yael.dillies@gmail.com>
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🚀 Pull request has been placed on the maintainer queue by YaelDillies. |
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… Mathlib (#11710) Introduces the Lawson Topology on a preorder. The Lawson Topology is defined as the meet of the [Lower Topology](leanprover-community/mathlib3#17426) and the [Scott Topology](#2508) previously introduced. A basis for the Lawson Topology is defined and some basic results are established: - An upper set is Lawson open if and only if it is Scott open - A lower set is Lawson closed if and only if it is closed under sups of directed sets - The Lawson topology on a partial order is T₀ Co-authored-by: Christopher Hoskin <mans0954@users.noreply.github.com> Co-authored-by: Christopher Hoskin <christopher.hoskin@overleaf.com>
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apnelson1
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May 12, 2024
… Mathlib (#11710) Introduces the Lawson Topology on a preorder. The Lawson Topology is defined as the meet of the [Lower Topology](leanprover-community/mathlib3#17426) and the [Scott Topology](#2508) previously introduced. A basis for the Lawson Topology is defined and some basic results are established: - An upper set is Lawson open if and only if it is Scott open - A lower set is Lawson closed if and only if it is closed under sups of directed sets - The Lawson topology on a partial order is T₀ Co-authored-by: Christopher Hoskin <mans0954@users.noreply.github.com> Co-authored-by: Christopher Hoskin <christopher.hoskin@overleaf.com>
callesonne
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May 16, 2024
… Mathlib (#11710) Introduces the Lawson Topology on a preorder. The Lawson Topology is defined as the meet of the [Lower Topology](leanprover-community/mathlib3#17426) and the [Scott Topology](#2508) previously introduced. A basis for the Lawson Topology is defined and some basic results are established: - An upper set is Lawson open if and only if it is Scott open - A lower set is Lawson closed if and only if it is closed under sups of directed sets - The Lawson topology on a partial order is T₀ Co-authored-by: Christopher Hoskin <mans0954@users.noreply.github.com> Co-authored-by: Christopher Hoskin <christopher.hoskin@overleaf.com>
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Introduces the Lawson Topology on a preorder.
The Lawson Topology is defined as the meet of the Lower Topology and the Scott Topology previously introduced.
A basis for the Lawson Topology is defined and some basic results are established: