Effective Constructive Algebraic Topology - Institut Fourier

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Kenzo computing d5 : [C5(Ω 3 ) = Z 33 ] → [C4(Ω 3 ) = Z 13 ] : ========== MATRIX 13 lines + 33 columns ===== L1=[C1=-2] L2=[C1=-1] L3=[C1=-4][C2=1][C3=-1][C4=-2] L4=[C2=1][C3=-1][C6=2] L5=[C1=6][C4=1][C6=1] L6=[C1=4][C4=4][C6=4][C7=3] L7=[C1=4][C12=-2][C14=2] L8=[C1=6][C4=1][C6=1] L9=[C1=4][C4=4][C6=4][C7=3] L10=[C8=4][C10=1][C11=-1][C14=-4][C15=-2][C20=-2] L11=[C1=4][C8=4][C10=1][C11=-1][C16=-4][C18=-1][C19=1][C23=-2] L12=[C12=4][C13=2][C16=-4][C18=-1][C19=1][C27=-2] L13=[C1=-1][C20=4][C21=2][C23=-4][C24=-2][C27=4][C28=2] ========== END-MATRIX 18
Meaning: ∂D 5 1 = S4 1 X4 X3 D 5 1 -2 -1 -4 -1 4 6 6 4 4 D 4 1 D 4 2 D 4 3 · · · · · · 19
Page 1 and 2: Effective Constructive Algebraic To
Page 3 and 4: Three solutions for Constructive Al
Page 5 and 6: Notion of CW-Complex X: X = lim −
Page 7 and 8: Example 2. More generally: 1. X0 =
Page 9 and 10: Simplicial version of P ∞ R: P
Page 11 and 12: Easy up to homotopy. Easiest soluti
Page 13 and 14: CW-complex: X = lim Xn = {(D → n
Page 15 and 16: Theorem (Adams, 1956): Let X be a 1
Page 17: Chapter 13 Stable Homotopy and Iter
Page 22 and 23: Analysis of the problem: “Standar
Page 24 and 25: Definition: A (homological) reducti
Page 26 and 27: ρ: h C∗ C∗ g f 1. What is Hn(

Effective Constructive Algebraic Topology - Institut Fourier

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