Skip to content
New issue

Have a question about this project? Sign up for a free GitHub account to open an issue and contact its maintainers and the community.

By clicking “Sign up for GitHub”, you agree to our terms of service and privacy statement. We’ll occasionally send you account related emails.

Already on GitHub? Sign in to your account

[Merged by Bors] - feat(measure_theory/constructions/polish): quotient group is a Borel space #19186

Closed
wants to merge 5 commits into from

Conversation

urkud
Copy link
Member

@urkud urkud commented Jun 14, 2023

  • Suslin's theorem: an analytic set with analytic complement is measurable.
  • Image of a measurable set in a Polish space under a measurable map is an analytic set.
  • Preimage of a set under a measurable surjective map from a Polish
    space is measurable iff the original set is measurable.
  • Quotient space of a Polish space with quotient σ-algebra is a Borel space provided that it has second countable topology.
  • In particular, quotient group of a Polish topological group is a Borel space.
  • Change instance for measurable_space on add_circle.

Open in Gitpod

@urkud urkud requested a review from a team as a code owner June 14, 2023 02:15
@github-actions github-actions bot added the modifies-synchronized-file This PR touches a files that has already been ported to mathlib4, and may need a synchronization PR. label Jun 14, 2023
@urkud urkud added awaiting-review The author would like community review of the PR mathport For compatibility with Lean 4 changes, to simplify porting labels Jun 14, 2023
@urkud urkud requested a review from hrmacbeth June 14, 2023 02:19
Co-authored-by: sgouezel <sebastien.gouezel@univ-rennes1.fr>
Co-authored-by: Eric Wieser <wieser.eric@gmail.com>
Co-authored-by: sgouezel <sebastien.gouezel@univ-rennes1.fr>
@sgouezel
Copy link
Collaborator

bors r+
Thanks!

@github-actions github-actions bot added ready-to-merge All that is left is for bors to build and merge this PR. (Remember you need to say `bors r+`.) and removed awaiting-review The author would like community review of the PR labels Jun 14, 2023
bors bot pushed a commit that referenced this pull request Jun 14, 2023
…space (#19186)

* Suslin's theorem: an analytic set with analytic complement is measurable.
* Image of a measurable set in a Polish space under a measurable map is an analytic set.
* Preimage of a set under a measurable surjective map from a Polish
  space is measurable iff the original set is measurable.
* Quotient space of a Polish space with quotient σ-algebra is a Borel space provided that it has second countable topology.
* In particular, quotient group of a Polish topological group is a Borel space.
* Change instance for `measurable_space` on `add_circle`.
@bors
Copy link

bors bot commented Jun 14, 2023

Pull request successfully merged into master.

Build succeeded!

The publicly hosted instance of bors-ng is deprecated and will go away soon.

If you want to self-host your own instance, instructions are here.
For more help, visit the forum.

If you want to switch to GitHub's built-in merge queue, visit their help page.

@bors bors bot changed the title feat(measure_theory/constructions/polish): quotient group is a Borel space [Merged by Bors] - feat(measure_theory/constructions/polish): quotient group is a Borel space Jun 14, 2023
@bors bors bot closed this Jun 14, 2023
@bors bors bot deleted the YK-polish-lemmas branch June 14, 2023 17:47
Parcly-Taxel added a commit to leanprover-community/mathlib4 that referenced this pull request Jun 15, 2023
bors bot pushed a commit to leanprover-community/mathlib4 that referenced this pull request Jun 16, 2023
Co-authored-by: Yury G. Kudryashov <urkud@urkud.name>
jcommelin pushed a commit to leanprover-community/mathlib4 that referenced this pull request Jun 17, 2023
Co-authored-by: Yury G. Kudryashov <urkud@urkud.name>
alexkeizer pushed a commit to leanprover-community/mathlib4 that referenced this pull request Jun 22, 2023
Co-authored-by: Yury G. Kudryashov <urkud@urkud.name>
semorrison pushed a commit to leanprover-community/mathlib4 that referenced this pull request Jun 25, 2023
Co-authored-by: Yury G. Kudryashov <urkud@urkud.name>
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment
Labels
mathport For compatibility with Lean 4 changes, to simplify porting modifies-synchronized-file This PR touches a files that has already been ported to mathlib4, and may need a synchronization PR. ready-to-merge All that is left is for bors to build and merge this PR. (Remember you need to say `bors r+`.)
Projects
None yet
Development

Successfully merging this pull request may close these issues.

None yet

3 participants