Webthe following disc embedding theorem: Theorem 1.1 (Disc embedding). Suppose M is simply-connected and suppose A is an immersed disc with embedded boundary in Mand transverse sphere B, such that Aand Bhave zero algebraic self-intersection. Then, there exists an embedded disc in Mwith the same framed boundary as Aand with a transverse … WebDec 2, 2024 · Thanks in advance. Edit: If Σ is a simply-connected non-compact surface with boundary and the simple closed curve is contained in Int ( Σ), then Int ( Σ) is …
Yu Ding - California State University, Long Beach
WebMar 26, 2024 · For compact simply-connected manifolds $ M _ {1} , M _ {2} $ of dimension $ n \geq 5 $ one of the most useful tools for obtaining a diffeomorphism is the $ h $- … WebMar 26, 2024 · For compact simply-connected manifolds $ M _ {1} , M _ {2} $ of dimension $ n \geq 5 $ one of the most useful tools for obtaining a diffeomorphism is the $ h $- cobordism theorem of Smale , see also : $ M _ {1} $ and $ M _ {2} $ are diffeomorphic provided there is a compact manifold $ N $ of dimension $ n + 1 $ whose boundary is … exoteric in a sentence
The 4-dimensional disc embedding theorem and dual spheres
WebTheorem 1. Let A= fa ijgbe an n nnon-negative (real) matrix and an eigenvalue of Awith geometric multiplicity at least two. Then is in a half Gershgorin disk, D(a ii;r i);for some i: Actually we are going to prove that such an eigenvalue lies in the disk D(a ii;r) and various values of rfor some suitable i. The proofs are based 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 … WebJul 1, 2024 · Abstract. In this paper, we prove the following: Let F = ( F 1, F 2) ∈ C ∞ ( R 2, R 2). Let R > 0. And suppose det ( D F ( x)) > 0, ∀ x ∈ B ( 0, R) ‾. Suppose there exist … exo terra compact top medium