move some files around, create folder cohomology
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9 changed files with 8 additions and 7 deletions
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@ -7,7 +7,7 @@ Various groups of maps. Most importantly we define a group structure
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on trunc 0 (A →* Ω B), which is used in the definition of cohomology.
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on trunc 0 (A →* Ω B), which is used in the definition of cohomology.
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-/
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-/
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import algebra.group_theory ..pointed ..pointed_pi eq2 homotopy.susp
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import algebra.group_theory ..pointed ..pointed_pi eq2
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open pi pointed algebra group eq equiv is_trunc trunc susp
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open pi pointed algebra group eq equiv is_trunc trunc susp
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namespace group
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namespace group
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@ -6,7 +6,7 @@ Authors: Floris van Doorn, Ulrik Buchholtz
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Reduced cohomology of spectra and cohomology theories
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Reduced cohomology of spectra and cohomology theories
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-/
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-/
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import .spectrum ..algebra.arrow_group .fwedge ..choice .pushout ..algebra.product_group
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import ..homotopy.spectrum ..algebra.arrow_group homotopy.fwedge ..choice ..homotopy.pushout ..algebra.product_group
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open eq spectrum int trunc pointed EM group algebra circle sphere nat EM.ops equiv susp is_trunc
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open eq spectrum int trunc pointed EM group algebra circle sphere nat EM.ops equiv susp is_trunc
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function fwedge cofiber bool lift sigma is_equiv choice pushout algebra unit pi
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function fwedge cofiber bool lift sigma is_equiv choice pushout algebra unit pi
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@ -6,7 +6,7 @@ Authors: Floris van Doorn
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Cofiber sequence of a pointed map
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Cofiber sequence of a pointed map
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-/
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-/
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import .cohomology .pushout
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import .basic ..homotopy.pushout
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open pointed eq cohomology sigma sigma.ops fiber cofiber chain_complex nat succ_str algebra prod group pushout int
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open pointed eq cohomology sigma sigma.ops fiber cofiber chain_complex nat succ_str algebra prod group pushout int
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@ -1,4 +1,4 @@
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import ..algebra.spectral_sequence .strunc .cohomology
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import ..algebra.spectral_sequence ..homotopy.strunc .basic
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open eq spectrum trunc is_trunc pointed int EM algebra left_module fiber lift equiv is_equiv
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open eq spectrum trunc is_trunc pointed int EM algebra left_module fiber lift equiv is_equiv
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cohomology group sigma unit is_conn
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cohomology group sigma unit is_conn
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@ -1,3 +1,4 @@
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-- Author: Floris van Doorn
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open eq is_trunc
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open eq is_trunc
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@ -5,7 +5,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
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Author: Kuen-Bang Hou (Favonia)
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Author: Kuen-Bang Hou (Favonia)
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-/
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-/
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import .homology
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import .basic
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open eq pointed group algebra circle sphere nat equiv susp
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open eq pointed group algebra circle sphere nat equiv susp
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function sphere homology int lift
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function sphere homology int lift
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@ -5,7 +5,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
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Author: Kuen-Bang Hou (Favonia)
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Author: Kuen-Bang Hou (Favonia)
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-/
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-/
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import .homology .sphere ..susp_product
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import .basic .sphere ..homotopy.susp_product
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open eq pointed group algebra circle sphere nat equiv susp
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open eq pointed group algebra circle sphere nat equiv susp
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function sphere homology int lift prod smash
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function sphere homology int lift prod smash
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@ -1,4 +1,4 @@
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import core
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import homotopy.susp homotopy.smash
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open susp smash pointed wedge prod
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open susp smash pointed wedge prod
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definition susp_product (X Y : Type*) : ⅀ (X × Y) ≃* ⅀ X ∨ (⅀ Y ∨ ⅀ (X ∧ Y)) :=
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definition susp_product (X Y : Type*) : ⅀ (X × Y) ≃* ⅀ X ∨ (⅀ Y ∨ ⅀ (X ∧ Y)) :=
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