Validator-Grade Grothendieck Resolution: Spectral Descent, Homotopy Convergence, and Universal Cohomology

Authors: Forrest M. Anderson, Forrest

Subject Terms: Grothendieck Standard Conjectures Homological vs Numerical Equivalence Weil Cohomology Theory Spectral Motif Encoding Motivic Filtration Homotopy Limit Convergence Derived Category of Sheaves Algebraic Cycles Primitive Decomposition Intersection Pairing Positivity Cycle Class Map Spectral Descent Validator-Grade Proof Architecture Universal Cohomology Construction Motivic Realization Étale Cohomology Triangulated Categories Derived Functors Six-Functor Formalism Spectral Sequence Stabilization Validator-grade mathematical reproducibility Formal verification in algebraic geometry Spectral descent architecture Cohomological containment and convergence Peer-to-peer replication frameworks Motivic sheaf descent Cycle equivalence resolution Derived inverse system stabilization Universal cohomology axioms Symbolic traceability in motivic theory Replicable proof systems in algebraic geometry Homotopy coherence in derived categories Positivity enforcement on primitive cycles Reproducible spectral filtration Validator-grade LaTeX formalization MSC 14C25 — Algebraic cycles MSC 14F20 — Étale and other Grothendieck topologies and cohomologies MSC 14F42 — Motivic sheaves MSC 18G80 — Derived categories, triangulated categories MSC 18E30 — Derived functors and triangulated categories MSC 14D07 — Special sheaves and cohomology theories MSC 14F10 — Differentials and de Rham cohomology MSC 13D07 — Homological methods, resolutions, complexes MSC 55T99 — Spectral sequences (general topology, algebraic topology) MSC 14A15 — Algebraic geometry foundations (Grothendieck-style)

Über einen Typ von Geometrien welche die Riemannsche verallgemeinern: Über einen Typ von Geometrien, welche die Riemannsche verallgemeinern

Authors: Laugwitz, Detlef

Source: Publicationes Mathematicae Debrecen. 7:72-77

Subject Terms: geometry. foundations of geometry, noneuclidean geometry, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/3156846

The Foundations of Mathematics: A Contribution to the Philosophy of Geometry

Authors: Carus, Paul

Subject Terms: Geometry -- Foundations

Availability: https://www.gutenberg.org/ebooks/57355/

An essay on the foundations of geometry

Authors: Russell, Bertrand, Russell, Bertrand Russell, 3d Earl, Russell, Bertrand A. W. (Bertrand Arthur William)

Subject Terms: Geometry -- Foundations

Availability: https://www.gutenberg.org/ebooks/52091/

Konventionalität in der Physik. : Wissenschaftstheoretische Untersuchungen zum Konventionalismus.

Authors: Werner Diederich

Resource Type: eBook.

Subjects: Physics--Philosophy, Physics--Methodology, Geometry--Foundations

Categories: SCIENCE / Philosophy & Social Aspects, PHILOSOPHY / Aesthetics, PHILOSOPHY / Epistemology

Foundations of Geometry : Euclidean, Bolyai-Lobachevskian, and Projective Geometry

Authors: Karol Borsuk, Wanda Szmielew

Resource Type: eBook.

Subjects: Geometry--Foundations

Categories: MATHEMATICS / Geometry / General

Geometrie senza limiti : I mondi non euclidei

Authors: Laura, Catastini, Franco, Ghione

Resource Type: eBook.

Subjects: Geometry--Foundations, Geometry, Non-Euclidean

Categories: SCIENCE / General

The Dynamical Mordell–Lang Conjecture

Authors: Jason P. Bell, Dragos Ghioca, Thomas J. Tucker

Resource Type: eBook.

Subjects: Mordell conjecture, Curves, Algebraic, Arithmetical algebraic geometry, Geometry, Algebraic, Number theory--Research exposition (monographs,, Number theory--Arithmetic algebraic geometry (Di, Algebraic geometry--Foundations--Varieties and, Dynamical systems and ergodic theory--Research e, Dynamical systems and ergodic theory--Complex dy

Categories: MATHEMATICS / Algebra / General, MATHEMATICS / Number Theory

David Hilbert : Les Grands Articles d'Universalis

Authors: Encyclopaedia Universalis

Resource Type: eBook.

Subjects: Axioms, Geometry--Foundations

Categories: REFERENCE / Encyclopedias, MATHEMATICS / General, MATHEMATICS / History & Philosophy, MATHEMATICS / Reference, MATHEMATICS / Research

Conceitos fundamentais da geometria

Authors: Lopes, Maria Laura Mousinho Leite

Subject Terms: Geometry -- Foundations

Geometrie und Erfahrung

Authors: Einstein, Albert, 1879-1955

Subject Terms: Geometry -- Foundations, Mathematics -- Philosophy, Relativity (Physics)

Die grundlagen der angewandten geometrie: eine untersuchung über den zusammenhang zwischen theorie und erfahrung in den exakten wissenschaften

Authors: Dingler, Hugo, 1881-1954

Subject Terms: Mathematics -- Philosophy, Geometry -- Foundations

Les fondements des mathématiques: De la géométrie d'Euclide à la rélativité générale et à l'intuitionisme

Authors: Gonseth, Ferdinand, 1890-1975

Subject Terms: Mathematics -- Philosophy, Geometry -- Foundations, Relativity (Physics), Logic, Symbolic and mathematical

Other Title: De la géometrie d'Euclide à la Relativité générale et à l'Intuitionisme.

Les étapes des mathématiques

Authors: Boll, Marcel, 1886-1971

Subject Terms: Mathematics -- Philosophy, Mathematics -- History, Geometry -- Foundations

An essay on the foundations of geometry

Authors: Russell, Bertrand, 1872-1970

Subject Terms: Geometry -- Foundations

Raum und Zahl

Authors: Reidemeister, Kurt, 1893-1971

Subject Terms: Mathematics -- Philosophy, Mathematics -- History, Geometry -- Foundations

The axiomatic method with special reference to geometry and physics: Proceedings of an international symposium held at the University of California, Berkeley, December 26, 1957-January 4, 1958

Authors: Henkin, Leon

Subject Terms: Geometry -- Foundations -- Congresses, Physics -- Congresses, Axioms, Logic -- Congresses

Fragen der elementargeometrie

Authors: Enriques, Federigo, 1871-1946

Subject Terms: Geometry -- Foundations

Space and geometry: in the light of physiological, psychological and physical inquiry.

Authors: Mach, Ernst, 1838-1916

Contributors: McCormack, Thomas J., 1865-1932

Subject Terms: Space perception, Geometry -- Foundations

The foundations of mathematics: a contribution to the philosophy of geometry

Authors: Carus, Paul, 1852-1919

Subject Terms: Geometry -- Foundations