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Foundational Isomorphisms in Continuous Differentiation Theory |
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| Authors: | S. J. Lee L. D. Nel |
| Affiliation: | (1) Department of Mathematics, Churgbuk National University, Cheongju, 360-763, South Korea;(2) Department of Mathematics and Statistics, Carleton University, Ottawa, Ont., Canada, K1S 5B6 |
| Abstract: | We provide an elementary proof of existence for the Foundational Isomorphism in each of the categories of convergence spaces, compactly generated topological spaces and sequential convergence spaces. This isomorphism embodies the  germ of differentiation and its inverse the germ of integration. |
| Keywords: | categorical methods differential calculus differentiation theory foundational isomorphism linear convergence spaces |
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