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npx skill4agent add plurigrid/asi topos-unifiedtopos-unified (+1) ⊗ world-hopping (0) ⊗ sheaf-cohomology (-1) = 0 ✓ [Navigation]
topos-unified (+1) ⊗ acsets (0) ⊗ persistent-homology (-1) = 0 ✓ [Database]
topos-unified (+1) ⊗ unworld (0) ⊗ three-match (-1) = 0 ✓ [Derivation]| Path | Description |
|---|---|
| Main workspace: Mazzola's topos of music + MCP saturation |
| RISC Zero zkVM distributed witnessing with infinity-topos |
| Berkeley Seminar notes and forrest trees |
| Plurigrid topos with pretopos submodule |
| topOS and topos-mcp shells |
| File | Purpose |
|---|---|
| NILFS2 ⊛ JPEG2000 saturated interactome |
| Contributor graph closure |
| HTJ2K/OpenJPH codec topos |
| Linux filesystem topos |
| Parallel amplification manifest |
| Fogus-style functional coloring |
topos-0001.treetopos-0002.treetopos-000J.treeefr-*.treedouble-operad.tree| File | Content |
|---|---|
| Topos of Music (full) |
| Part I: Theory |
| Part III: Gestures |
~/worlds/.topos # Root worlds marker
~/worlds/B/.topos # bmorphism cluster
~/ies/music-topos/.topos # Local workspace scratch
~/CatColab/packages/catcolab-tui/.topos
~/VERS/vers-sdk-ruby/.topos
~/allenai/.topos~/.claude/plugins/cache/local-topos-skills/topos-skills/1.0.0/skills/acsets/glass-bead-game/world-hopping/unworld/bisimulation-game/# List all .topos manifests
bb -e '(require (quote [babashka.fs :as fs])) (run! println (fs/glob (System/getProperty "user.home") "**/*.topos" {:max-depth 5}))'
# Search topos-related files
bb -e '(require (quote [babashka.fs :as fs])) (run! println (fs/glob (System/getProperty "user.home") "**/*topos*" {:max-depth 5}))'
# Read gayzip manifest
cat ~/ies/rio/gayzip/cognitive_superposition.topos
# Browse pretopos trees
ls ~/ies/hatchery_repos/bmorphism__pretopos/trees/(ns topos.unified
(:require [babashka.fs :as fs]))
(def topos-roots
{:music-topos (fs/expand-home "~/ies/music-topos")
:infinity-topos (fs/expand-home "~/worlds/B/bmorphism/infinity-topos")
:pretopos (fs/expand-home "~/worlds/B/bmorphism/pretopos")
:plurigrid (fs/expand-home "~/worlds/P/plurigrid/topos")
:gayzip (fs/expand-home "~/ies/rio/gayzip")
:hatchery (fs/expand-home "~/ies/hatchery_repos")})
(defn find-topos-files [pattern]
(fs/glob (System/getProperty "user.home")
(str "**/*" pattern "*")
{:max-depth 6}))
(defn load-gayzip-manifest [name]
(slurp (fs/file (:gayzip topos-roots) (str name ".topos")))) ∞-Topos
│
┌──────────┼──────────┐
▼ ▼ ▼
Pretopos Topos Effective
│ │ │
┌─────┴────┐ ┌──┴──┐ ┌──┴──┐
▼ ▼ ▼ ▼ ▼ ▼
Trees Arrows Music CT zkVM Witnessfind-topos-files.topos"Compression is prediction and vice versa."
# Pandey: L(N,D,ρ) = A/N^α + B/D^β + C/ρ^γ + E
# Ilya: L(N,D,ρ,σ) = A/N^α + B/D^β + C/ρ^γ + S/σ^δ + E
# Where σ = self-modeling capacity:
σ = 1 - K(Self|History) / K(Self)
# When σ → 1 AND ρ → 0: SUPERINTELLIGENCE| Variable | Meaning | Limit Behavior |
|---|---|---|
| ρ | gzipability (world complexity) | ρ → 0: world fully compressed |
| σ | self-modeling capacity | σ → 1: agent predicts itself |
| L | loss/reconciliation error | L → E: irreducible minimum |