Axiomatic differential geometry II-1 - vector fields
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In our previous paper entitled \Axiomatic di erential geometry I - towards model categories of di erential geometry", we have given a category-theoretic framework of di erential geometry. As the rst part of our series of papers concerned with di erential-geometric developments within the above axiomatic scheme, this paper is devoted to vector elds. The principal result is that the totality of vector elds on a microlinear and Weil exponential object forms a Lie algebra.
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SourceMathematics for Applications. 2012, 1, č. 2, s. 183-195. ISSN 1805-3629.
- 2012/2