WebA new proof of Reifenberg’s topological disc theorem Guanghao Hong and Lihe Wang: Vol. 246 (2010), No. 2, 325–332 DOI: 10.2140/pjm.2010.246.325. Abstract: We offer a new … Webthese theorems will, however, also gain a sense of personal satisfaction that comes from being able to comprehend some of the masterpieces of mathematics. The Pythagorean Theorem In right angled triangles, the square on the side subtending the right angle is equal to the squares on the sides containing the ...
Disc theorem - Wikipedia
WebThe aim of the present paper is to prove global inversion theorems for ex-panding maps in Banach spaces. As a consequence we provide a positive answer to the problem … WebFor all «-manifolds M and N, the Disc Theorem shows that a diffeomorphism f: N -> N#H, extends to a diffeomorphism /#1: N#M -> (JV#2)#M. In fact, one has I(N) + I(M) C I(N#M). To show that inclusion is sometimes strict, D. Wilkens [18] constructed 15-manifolds M and N with I(M) - I(N) = 0 and I(M#N) = Z127. honey daily dose
GLOBAL INVERTIBILITY OF EXPANDING MAPS
WebSep 8, 2016 · An embedding is not "homotopy equivalent" to another embedding, this is reserved for spaces. And besides the standard embedding and Alexander's horned sphere's embedding are homotopic as maps S 2 → R 3, because R 3 is contractible anyway. The notion you want is isotopic: there does not exist a continuous family of maps f: S 2 × [ 0, … WebJun 1, 2010 · We offer a new proof to the classical topological disk theorem of Reifenberg. The novelty of our method is that we construct the approximating surfaces globally, which makes our proof rather simple and direct. ... {A new proof of Reifenberg’s topological disc theorem}, author={Guanghao Hong and Lihe Wang}, journal={Pacific Journal of ... WebPapers (in reversed chronological order) On the prevalence of the periodicity of maximizing measures (with Z. Li and Y. Zhang), submitted.; A polynomial time iterative algorithm for matching Gaussian matrices with non-vanishing correlation (with Z. Li), submitted.; A polynomial-time approximation scheme for the maximal overlap of two independent … honey cy youtube