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2023 02 06 Meeting
affeldt-aist edited this page Feb 6, 2023
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Participants: Reynald, Zachary, Pierre, Takafumi
- merge PR 832 on doc of finSubCover ?
- equality is too restrictive
- What to do about casts in patterns? PR 804
- This PR has been closed by the author
- warnings were scheduled to be errors but this has changed
- see Coq PR 16798
- TODO: test if the casts are effective
- release 0.6.1
- no docker for MathComp 1.16 yet, Pierre to meet Erik in a few hours
- merge PR 786 on quotient topology
- TODO(ZS): rebase and merge
- TODO: generic quotient to define Lp spaces in the probability PR
Advantages:
- Hausdorff spaces are preserved
- We retain the norm structure
- review of PR 516 on probability
- TODO(RA/TS): use generic quotient to define Lp space module ae_eq
- the properties about discrete random variables require indexing and we seem to lack generic infrastructure to deal with them
- TODO(RA/TS): notations for random variables should not be necessary,
instead show that random variables form a comUnitAlgebra over R
to use its notations
- TS referring to notation problems when producing a ring of functions
- ZS recommends to locally define notation and build the canonical structure
- TODO on Thursday
- merge PR 768 on Product embedding
- every compact space is embeddable in a product, we'd like to build this embedding and show that it is continuous
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joint_product : T -> product_topologicalType U_
which is continuous, open, injective
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PR 763
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countable_uniformity
= metrizability - the sup uniform space of metrizable uniform spaces is metrizable
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topology.v:4265
: supremum of uniform spaces is uniform - Problem: the definition of the supremum entourage is not human friendly because of dependent pairs. need to keep track on which space the entourage comes from
- TODO(RA): review, goal: look for some local improvements and merge
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PR 833
- mark these lemmas as deprecated might be good bu undeprecated deprecated might be awkward
- TODO(RA): show that these lemmas can indeed be superseded by the new theory
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PR 794
- current theorems do not apply to the characteristic function which is not differentiable at the endpoints
- for reference see
realfun.v
, more precisely https://github.com/math-comp/analysis/pull/752- continuous within some subspace is ad-hoc in the sense that the notation is ad-hoc
- first step: differentiable within a subspace (solution 3.)
- condition for acceptance: make a claim that the characteristic function is convex
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PR 777 on Hahn decomposition
- could be mergeable
- relies on PR 836 which introduce a type for finite measures but is incomplete
- maybe need to split mixins and show that they compose
- could be mergeable
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PR 818 on Radon-Nikodym
- current version augment
measure_ge0
with a measurability hypothesis that shouldn't be necessary in principle - TODO(RA): investigate and report
- current version augment
- TS: thinking about absolute convergence
- relation with the summable predicate
- ZS: foresees applications of the Ascali theorem to prove theory of power series