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SYNTHETIC LIE THEORY

Part of: Lie groups Special categories Categories and geometry

Published online by Cambridge University Press:  10 February 2016

MATTHEW BURKE
MATTHEW BURKE*
Affiliation:
Department of Mathematics, Faculty of Science and Engineering, Macquarie University, Sydney, Australia email matthew.burke@cantab.net
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Abstract

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Keywords

mathematicscategory theorysynthetic differential geometryLie theoryintuitionistic logic

MSC classification

Primary: 18F20: Presheaves and sheaves
Secondary: 18B25: Topoi 22E99: None of the above, but in this section
Type
Abstracts of Australasian PhD Theses
Information
Bulletin of the Australian Mathematical Society , Volume 93 , Issue 3 , June 2016 , pp. 516 - 517
Copyright
© 2016 Australian Mathematical Publishing Association Inc. 

References

Burke, M., ‘Ordinary connectedness implies enriched connectedness and integrability for Lie groupoids’, to appear.Google Scholar
Crainic, M. and Fernandes, R. L., ‘Integrability of Lie brackets’, Ann. of Math. (2) 157(2) (2003), 575–620.Google Scholar
Dubuc, E. J., ‘C ∞-schemes’, Amer. J. Math. 103(4) (1981), 683–690.CrossRefGoogle Scholar
Kirillov, A. Jr, An Introduction to Lie Groups and Lie Algebras, Cambridge Studies in Advanced Mathematics, 113 (Cambridge University Press, Cambridge, 2008).CrossRefGoogle Scholar
Kock, A., Synthetic Differential Geometry, 2nd edn, London Mathematical Society Lecture Note Series, 333 (Cambridge University Press, Cambridge, 2006).CrossRefGoogle Scholar
Mackenzie, K. C. H., General Theory of Lie Groupoids and Lie Algebroids, London Mathematical Society Lecture Note Series, 213 (Cambridge University Press, Cambridge, 2005).Google Scholar
Tseng, H.-H. and Zhu, C., ‘Integrating Lie algebroids via stacks’, Compositio Math. 142(1) (2006), 251–270.Google Scholar