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Alexandroff-Hausdorff Theorem and the Cantor Space (#834) (#1102)
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Co-authored-by: zstone1 <[email protected]>
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affeldt-aist and zstone1 authored Nov 17, 2023
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18 changes: 18 additions & 0 deletions CHANGELOG_UNRELEASED.md
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### Added

- in file `cantor.v`,
+ new definitions `cantor_space`, `cantor_like`, `pointed_discrete`, and
`tree_of`.
+ new lemmas `cantor_space_compact`, `cantor_space_hausdorff`,
`cantor_zero_dimensional`, `cantor_perfect`, `cantor_like_cantor_space`,
`tree_map_props`, `homeomorphism_cantor_like`, and
`cantor_like_finite_prod`.
+ new theorem `cantor_surj`.
- in file `topology.v`,
+ new lemmas `perfect_set2`, and `ent_closure`.
+ lemma `clopen_surj`

- in `cantor.v`:
+ definitions `pointed_principal_filter`,
`pointed_discrete_topology`
+ lemma `discrete_pointed`
+ lemma `discrete_bool_compact`

### Changed

### Renamed
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1 change: 1 addition & 0 deletions _CoqProject
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Expand Up @@ -22,6 +22,7 @@ theories/reals.v
theories/landau.v
theories/Rstruct.v
theories/topology.v
theories/cantor.v
theories/prodnormedzmodule.v
theories/normedtype.v
theories/realfun.v
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