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The basics of the premetric approach are discussed, including the essentialdetails of the formalism and some of its beautiful consequences. We demonstratehow the classical electrodynamics can be developed without a metric in a quitestraightforward way: Maxwell's equations, together with the general responselaw for material media, admit a consistent premetric formulation. Furthermore,we show that in relativistic theories of gravity, the premetric program leadsto a better understanding of the interdependence between topological, affine,and metric concepts.

Premetric approach in gravity and electrodynamics