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metric space
(redirected from Riemann space)

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ThesaurusLegend:  Synonyms Related Words Antonyms
Noun1.metric space - a set of points such that for every pair of points there is a nonnegative real number called their distance that is symmetric and satisfies the triangle inequality
mathematical space, topological space - (mathematics) any set of points that satisfy a set of postulates of some kind; "assume that the topological space is finite dimensional"
Euclidean space - a space in which Euclid's axioms and definitions apply; a metric space that is linear and finite-dimensional
Hilbert space - a metric space that is linear and complete and (usually) infinite-dimensional


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The text's beginning chapters, on mathematical preliminaries, cover tensors in amorphous spaces and in Riemann spaces.
He takes an openly didactic approach, and does not hesitate to make those new to the theory as comfortable as possible, covering the mathematical preliminaries first by describing tensors in amorphous spaces and tensors in Riemann spaces, then introduces general relativity in terms of basic theories, Schwarzchild's metric, classical texts and complements of tensor calculus and general relativity.
 
 
 
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