Renamed homology file + fixed a superfluous hypothesis in spectrify_map
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2 changed files with 4 additions and 4 deletions
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@ -1,11 +1,12 @@
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import .spectrum .EM ..algebra.arrow_group ..algebra.direct_sum .fwedge ..choice .pushout ..move_to_lib ..algebra.product_group
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import ..homotopy.spectrum ..homotopy.EM ..algebra.arrow_group ..algebra.direct_sum ..homotopy.fwedge ..choice ..homotopy.pushout ..move_to_lib
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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 smash
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namespace homology
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namespace homology
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/- homology theory -/
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/- homology theory -/
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structure homology_theory.{u} : Type.{u+1} :=
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structure homology_theory.{u} : Type.{u+1} :=
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(HH : ℤ → pType.{u} → AbGroup.{u})
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(HH : ℤ → pType.{u} → AbGroup.{u})
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(Hh : Π(n : ℤ) {X Y : Type*} (f : X →* Y), HH n X →g HH n Y)
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(Hh : Π(n : ℤ) {X Y : Type*} (f : X →* Y), HH n X →g HH n Y)
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@ -422,8 +422,7 @@ namespace spectrum
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by induction k with k f; reflexivity; exact f ⬝e* loopn_pequiv_loopn k (equiv_glue X (n +' k))
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by induction k with k f; reflexivity; exact f ⬝e* loopn_pequiv_loopn k (equiv_glue X (n +' k))
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⬝e* !loopn_succ_in⁻¹ᵉ*
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⬝e* !loopn_succ_in⁻¹ᵉ*
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definition spectrify_map {N : succ_str} {X : gen_prespectrum N} {Y : gen_spectrum N}
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definition spectrify_map {N : succ_str} {X : gen_prespectrum N} : X →ₛ spectrify X :=
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(f : X →ₛ Y) : X →ₛ spectrify X :=
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begin
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begin
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fapply smap.mk,
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fapply smap.mk,
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{ intro n, exact pinclusion _ 0 },
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{ intro n, exact pinclusion _ 0 },
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