From dcf0327e98b0b4c9b1b267c75b572d87582fccb9 Mon Sep 17 00:00:00 2001 From: favonia Date: Tue, 6 Jun 2017 11:17:11 -0600 Subject: [PATCH] Skeleton of homology groups of spheres. --- homology/sphere.hlean | 21 +++++++++++++++++++++ 1 file changed, 21 insertions(+) create mode 100644 homology/sphere.hlean diff --git a/homology/sphere.hlean b/homology/sphere.hlean new file mode 100644 index 0000000..30ddc15 --- /dev/null +++ b/homology/sphere.hlean @@ -0,0 +1,21 @@ +-- Author: Kuen-Bang Hou (Favonia) + +import core types.lift +import ..homotopy.homology + +open eq pointed group algebra circle sphere nat equiv susp + function sphere homology int lift + +namespace homology + +section + parameter (theory : homology_theory) + + open homology_theory + + theorem Hsphere : Π(n : ℕ), HH theory n (plift (psphere n)) ≃g HH theory 0 (plift (psphere 0)) := + sorry + +end + +end homology