From a12e754c23bf1d8df36e329aad6b7b96fdfdf00a Mon Sep 17 00:00:00 2001 From: Jlh18 Date: Sun, 26 Sep 2021 15:12:01 +0100 Subject: [PATCH] Added Quest1SideQuest --- 1FundamentalGroup/Quest1SideQuests/Sn.agda | 23 ++++++++++++++ .../Quest1SideQuests/SnSolutions.agda | 28 ++++++++++++++++++ .../Quest1SideQuests/Sn.agdai | Bin 0 -> 68312 bytes .../Quest1SideQuests/SnSolutions.agdai | Bin 0 -> 54424 bytes 4 files changed, 51 insertions(+) create mode 100644 1FundamentalGroup/Quest1SideQuests/Sn.agda create mode 100644 1FundamentalGroup/Quest1SideQuests/SnSolutions.agda create mode 100644 _build/2.6.2/agda/1FundamentalGroup/Quest1SideQuests/Sn.agdai create mode 100644 _build/2.6.2/agda/1FundamentalGroup/Quest1SideQuests/SnSolutions.agdai diff --git a/1FundamentalGroup/Quest1SideQuests/Sn.agda b/1FundamentalGroup/Quest1SideQuests/Sn.agda new file mode 100644 index 0000000..13a5b14 --- /dev/null +++ b/1FundamentalGroup/Quest1SideQuests/Sn.agda @@ -0,0 +1,23 @@ +module 1FundamentalGroup.Quest1SideQuests.Sn where + +open import Cubical.Data.Nat +open import Cubical.Data.Empty +open import Cubical.Data.Unit renaming (Unit to ⊤) +open import Cubical.Data.Bool +open import Cubical.Foundations.Prelude + + +data susp (X : Type) : Type where + north : {!!} + south : {!!} + merid : {!!} + +Sphere : ℕ → Type +Sphere = {!!} + +Disk : (n : ℕ) → Type +Disk zero = {!!} +Disk (suc n) = {!!} + +SphereToDisk : {n : ℕ} → Sphere n → Disk n +SphereToDisk {n} s = {!!} diff --git a/1FundamentalGroup/Quest1SideQuests/SnSolutions.agda b/1FundamentalGroup/Quest1SideQuests/SnSolutions.agda new file mode 100644 index 0000000..2bbad3d --- /dev/null +++ b/1FundamentalGroup/Quest1SideQuests/SnSolutions.agda @@ -0,0 +1,28 @@ +module 1FundamentalGroup.Quest1SideQuests.SnSolutions where + +open import Cubical.Data.Nat +open import Cubical.Data.Empty +open import Cubical.Data.Unit renaming (Unit to ⊤) +open import Cubical.Data.Bool +open import Cubical.Foundations.Prelude + + +data susp (X : Type) : Type where + north : susp X + south : susp X + merid : X → north ≡ south + +Sphere : ℕ → Type +Sphere zero = Bool +Sphere (suc n) = susp (Sphere n) + +Disk : (n : ℕ) → Type +Disk zero = ⊤ +Disk (suc n) = susp (Sphere n) + +SphereToDisk : {n : ℕ} → Sphere n → Disk (suc n) +SphereToDisk {zero} false = north +SphereToDisk {zero} true = south +SphereToDisk {suc n} north = north +SphereToDisk {suc n} south = south +SphereToDisk {suc n} (merid x i) = merid (SphereToDisk x) i diff --git a/_build/2.6.2/agda/1FundamentalGroup/Quest1SideQuests/Sn.agdai b/_build/2.6.2/agda/1FundamentalGroup/Quest1SideQuests/Sn.agdai new file mode 100644 index 0000000000000000000000000000000000000000..31d804c94e837f3e653e4a12977a883139a55f2c GIT binary patch literal 68312 zcmXV22|Sef|NlPEGZzMv`}T-3lB+`@Jml(Puv@l6j@qb1ib{@$P)eH0mfeaWW%_Te zj#+INN*mdZ!ED(nX^Ya-RBO>j_N^mG*xlAfdYJZWwV)~T-d;22&N$u4iRKg|yck*M_lATL>L(P}iRUI6eH~orX zRR3&55e7I9nW(x}a%e+yh#f$N#xCWlDFx-SY 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