Categorical algebra for continuum micro physics

DOI10.1016/S0022-4049(02)00138-XzbMath1014.18002MaRDI QIDQ1850105

F. William Lawvere

Publication date: 2 December 2002

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

microstructuretoposcategorical algebrageometric morphismmicrophysicscontinuum mechanismsgeneralized monoidslawful motionsmonatomic systemsspace of solution curves for dynamical systems

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Micromechanical theories (74A60) Topoi (18B25) Differential equations in abstract spaces (34G99) Topos-theoretic approach to differentiable manifolds (58A03)

Related Items

Introduction: A personal tribute to Peter Freyd and Bill Lawvere

Cites Work

• Invariant manifolds in mechanics. I. The general construction of coarse theories from fine theories
• On right adjoints to exponential functors
• Continuous solutions of linear equations---an old problem, its history, and its solution
• Lectures on the foundation of continuum mechanics and thermodynamics
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