719d65741505b22b8e42ff9267793499 Unigluconcho.pdf 6b1046cbe7e726861a03293a1530c13aa5bb8a6e Unigluconcho.pdf ec8cd9ac57df02cc9d810add6174fa9b8e0c7472f963e1de05ac1c3be05702a8 Unigluconcho.pdf Title: Universal Gluing and Contextual Choice: Categorical Logic and the Foundations of Analytic Approximation Author: Andreu Ballus Santacana Creator: arXiv GenPDF (tex2pdf:) Producer: pikepdf 8.15.1 Custom Metadata: yes Metadata Stream: yes Tagged: no UserProperties: no Suspects: no Form: none JavaScript: no Pages: 29 Encrypted: no Page size: 612 x 792 pts (letter) Page rot: 0 File size: 331246 bytes Optimized: no PDF version: 1.5 name type encoding emb sub uni object ID ------------------------------------ ----------------- ---------------- --- --- --- --------- IZMJJE+CMSY10 Type 1 Builtin yes yes yes 91 0 DGHFON+URWPalladioL-Roma Type 1 Custom yes yes yes 92 0 CYJMOQ+URWPalladioL-Bold Type 1 Custom yes yes yes 93 0 OTTCOM+URWPalladioL-Ital Type 1 Custom yes yes yes 94 0 LDPGAO+PazoMath Type 1 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Universal Approximation Children: Item: Title: The Problem of Explicit Approximation Item: Title: Constructive Statement and Realization of UELAT Item: Title: From Classical Schemes to Certified Construction Item: Title: Classical Examples and an Explicit Calculation Item: Title: On Error Certification and the Role of Explicit Data Item: Title: Perspective and Forward Look Item: Title: Categorical Logic and the Architecture of Approximation Children: Item: Title: The Categorical Turn Item: Title: The Core Adjunction: Probes and Analytic Models Item: Title: Concrete Example: Polynomials as Global Solutions Item: Title: The Reflection Principle and Certified Approximants Item: Title: Broader Perspective: Modal and Sheaf-Theoretic Universality Item: Title: The Contextual Choice Principle (CCP): Foundations of the Tame Universe Children: Item: Title: Definition and Motivation Item: Title: Implications and Distinctions: The Tame Mathematical Landscape Item: Title: CCP as Structural Principle Item: Title: Modal Necessity and the Architecture of Gluing Item: Title: Perspective Item: Title: Modal and Sheaf‐Theoretic Necessity: From Local to Global Children: Item: Title: Sheaf Theory and Modal Logic Item: Title: The Local‐to‐Global Gluing Theorem Item: Title: The End of Pathology: The Garden Without Monsters Item: Title: Soundness, Completeness, and the Lawvere Paradigm Children: Item: Title: Lawvere Theories and Semantic Reflection Item: Title: Certificates, Constructivity, and the Curry–Howard Correspondence Item: Title: Modal Necessity and the Architecture of Gluing Item: Title: Algorithmic Realization: Universality as Constructive Process Children: Item: Title: The Extraction Algorithm: Step-by-Step Realization and the Logic of Certificates Item: Title: Uniform Certificate Stability and Computable Transfer Item: Title: Adaptive, Data-Driven, and Machine Learning Extensions Item: Title: Generalizations and the Geography of Universality Children: Item: Title: Sections of Vector Bundles Item: Title: Sheaves of Modules and Analytic PDEs Item: Title: Finite‐Rank Approximation of Operators Item: Title: Group Representations and Harmonic Analysis Item: Title: O‐Minimal Structures and Tame Topology Item: Title: Algebraic and Arithmetic Geometry Item: Title: The Horizon of Certifiability Item: Title: Philosophical Synthesis and Meta‐Theorem Children: Item: Title: Meta‐Theorem: A World Built from Certificates Item: Title: Bringing Together Logic, Analysis, and Certificates Item: Title: Looking Forward: Horizons and Community Item: Title: Formal Statements and Definitions Item: Title: Formal Constructive Proof in Sobolev Spaces Item: Title: Fully Worked Example Item: Title: Formal Definition and Comparison Info: Title: Universal Gluing and Contextual Choice: Categorical Logic and the Foundations of Analytic Approximation Author: Andreu Ballus Santacana Creator: arXiv GenPDF (tex2pdf:) Producer: pikepdf 8.15.1 ID: 0x63335c3ecf2132f70bab348bad8b95c6, 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