GM-Omega-Infinity: Topos-Native Intelligence — Research Architecture Edition 1 (v1.0.0)

GM-Omega-Infinity: Topos-Native Intelligence

A Sheaf-Theoretic Architecture for Verifiable Machine Intelligence

Vincent Liu · Research Architecture Edition 1 · version 1.0.0 · first public edition

A monograph in five volumes bound as one — 14 parts, 102 chapters, 4,020 pages, more than 62,000 formulas, 3,360 numbered declarations, 380 algorithms, 124 vector figures and 550 tables. It is the meta-reasoning kernel of the Grothendieckian Programme, whose central part is GAI-MUA: The Grothendieckian Machine (doi:10.5281/zenodo.23480696): reasoning native to a topos, in which a conclusion exists only where the local evidence glues.

New here? Start with the preview (72.2 MB): the Series Note, the Preface, the Abstract, How to read this book, the contents and the whole of Part I.

	File	Pages	Size
Preview	GM-Omega-Infinity-v1.0.0-Preview.pdf	156	72.2 MB
Complete monograph (Volumes I–V and apparatus)	GM-Omega-Infinity-v1.0.0-Complete.pdf	4,020	105.6 MB

Permanent archive and citation — Zenodo, concept DOI 10.5281/zenodo.23538544 (this edition: 10.5281/zenodo.23538545). The files here are byte-identical to the Zenodo record.

Authenticity — SHA256SUMS is signed with OpenPGP key DA1A 1AEF D8B2 C17C FF3F 1D1B 3905 0F50 7A4F EC17, timestamped by two RFC 3161 authorities (FreeTSA, DigiCert) and anchored in Bitcoin (OpenTimestamps); the key is the same as for Series 01. This release is immutable. See VERIFY.md.

sha256sum -c SHA256SUMS --ignore-missing
gpg --import VincentLiu-signing-key.asc && gpg --verify SHA256SUMS.asc SHA256SUMS

License — CC BY-NC-ND 4.0; code listings and schemas also under Apache-2.0. Text and data mining rights are reserved: model training requires written permission, individual reading with AI tools is welcome — TDM-AND-AI-POLICY.md.

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