Cell Complexes — htpy

S⁰

The sphere spectrum

Cells: x0 (stem 0)

Compute at p = 2 3 5 7

C(p)

Mod p Moore spectrum (cofiber of p)

Cells: x0 (stem 0), x1 (stem 1)

Expected generators: h₀ (s=0, n=0) — ι; h₁ (s=0, n=1)

Compute at p = 2 3 5 7

C(η)

Cofiber of eta (p=2 only)

Cells: x0 (stem 0), x2 (stem 2)

Expected generators: v₁ (s=1, n=3) — ν

Compute at p = 2

C(ν)

Cofiber of nu (p=2 only)

Cells: x0 (stem 0), x4 (stem 4)

Compute at p = 2

C(σ)

Cofiber of sigma (p=2 only)

Cells: x0 (stem 0), x8 (stem 8)

Compute at p = 2

C(p²)

Mod p² Moore spectrum (cofiber of p²)

Cells: x0 (stem 0), x1 (stem 1)

Compute at p = 2 3 5 7

C(2,η)

Cofiber of 2 and eta (p=2 only)

Cells: x0 (stem 0), x1 (stem 1), x3 (stem 3)

Compute at p = 2