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Commit 2022-05-09 02:37 1e8f3817

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feat(algebraic_topology/dold_kan): defining some null homotopic maps (#13085)

Estimated changes

Modified docs/references.bib

Modified src/algebra/homology/complex_shape.lean

added theorem complex_shape.down'_mk

added theorem complex_shape.down_mk

Created src/algebraic_topology/dold_kan/homotopies.lean

added def algebraic_topology.dold_kan.Hσ

added theorem algebraic_topology.dold_kan.Hσ_eq_zero

added def algebraic_topology.dold_kan.c

added theorem algebraic_topology.dold_kan.c_mk

added theorem algebraic_topology.dold_kan.cs_down_0_not_rel_left

added def algebraic_topology.dold_kan.homotopy_Hσ_to_zero

added def algebraic_topology.dold_kan.hσ'

added theorem algebraic_topology.dold_kan.hσ'_eq

added theorem algebraic_topology.dold_kan.hσ'_eq_zero

added theorem algebraic_topology.dold_kan.hσ'_naturality

added def algebraic_topology.dold_kan.hσ

added theorem algebraic_topology.dold_kan.map_Hσ

added theorem algebraic_topology.dold_kan.map_hσ'

added def algebraic_topology.dold_kan.nat_trans_Hσ

Created src/algebraic_topology/dold_kan/notations.lean