Thick and Thin Globality: A Categorical Interpretation via Dictionary Sheaves and Sparse Selection

This paper contrasts thick globality from colimit gluing with thin globality from sparse selection in dictionary sheaves. We formalize selection as a right adjoint and show L1 regularization realizes this structure.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-04
DOI
https://doi.org/10.5281/zenodo.22288722
Primary Topic
Theoretical and Computational Physics
Type
article
Field-Weighted Citation Impact
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article

Thick and Thin Globality: A Categorical Interpretation via Dictionary Sheaves and Sparse Selection

Shin Tamaki
Zenodo (CERN European Organization for Nuclear Research)
Theoretical and Computational Physics
article

Thick and Thin Globality: A Categorical Interpretation via Dictionary Sheaves and Sparse Selection

Shin Tamaki
article en

Abstract

This paper contrasts thick globality from colimit gluing with thin globality from sparse selection in dictionary sheaves. We formalize selection as a right adjoint and show L1 regularization realizes this structure.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 16%
Theoretical and Computational Physics
DOIOpen Access PDFOpenAlex
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