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  • 學位論文

1-jet 空間中開且大的關係

A Report on Open Ample Relations in Spaces of 1-jets

指導教授 : 王藹農

摘要


無資料

關鍵字

h-principle 凸積分 jet bundle 纖維叢 relation

並列摘要


This thesis surveys that each open ample relation in spaces of 1-jet of any fiber bundle satisfies h-principle. The main tool is convex integration theory introduced by M. Gromov. Most of the materials come from [1] by D.Spring. [2], [3] are also used slightly.

參考文獻


[2]John M. Lee. Introduction to smooth manifolds. Springer Verlag, 2013
[1]D. Spring. Convex Integration Theory Solutions to the h-principle in geometry and topology. Birkhäuser Verlag, 1998
[3]N. Mishachev Y. Eliashberg. Introduction to the h-Principle. American Mathematical Society, 2002

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