Abstract differential geometry, differential algebras of generalized functions, and de Rham cohomology

From MaRDI portal
Publication:1288750

DOI10.1023/A:1006106718337zbMath0929.18005MaRDI QIDQ1288750

Anastasios Mallios, Elemer E. Rosinger

Publication date: 23 January 2000

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)




Related Items (17)

How to solve smooth nonlinear pdes in algebras of generalized functionswith dense singularitiesRemarks on the behaviour of higher-order derivations on the gluing of differential spaces`Third' quantization of vacuum Einstein gravity and free Yang-Mills theoriesGeometry and physics todayGlafka-2004: categorical quantum gravityQuantum observables algebras and abstract differential geometry: the topos-theoretic dynamics of diagrams of commutative algebraic localizationsFinitary topos for locally finite, causal and quantal vacuum Einstein gravityDifferential algebras with dense singularities on manifoldsGeneralised solutions to linear and non-linear Schrödinger-type equations with point defect: Colombeau and non-Colombeau regimesThe homological Kähler-de Rham differential mechanism. II: Sheaf-theoretic localization of quantum dynamicsA dodecalogue of basic didactics from applications of abstract differential geometry to quantum gravitySpace-time foam differential algebras of generalized functions and a global Cauchy-Kovalevskaia theoremThe homological Kähler-de Rham differential mechanism. I: Application in general theory of relativityA sheaf-theoretic topos model of the physical ‘Continuum’ and its cohomological observable dynamicsFinitary-algebraic `resolution' of the inner Schwarzschild singularity\(\mathcal{A}\)-invariance: An axiomatic approach to quantum relativityGeneralized pseudo-Riemannian geometry




This page was built for publication: Abstract differential geometry, differential algebras of generalized functions, and de Rham cohomology