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pro vyhledávání: '"57N75"'
Abs-smooth functions are given by compositions of smooth functions and the evaluation of the absolute value. The linear independence kink qualification (LIKQ) is a fundamental assumption in optimization problems governed by these abs-smooth functions
Externí odkaz:
http://arxiv.org/abs/2412.09175
Autor:
Queffelec, Hoel
We recover Reidemeister's theorem using smooth functions and transversality.
Comment: My goal here was to give an easily readable proof for the Reidemeister theorem based on transversality techniques. I hope it can prove useful when learning or
Comment: My goal here was to give an easily readable proof for the Reidemeister theorem based on transversality techniques. I hope it can prove useful when learning or
Externí odkaz:
http://arxiv.org/abs/2406.18203
Autor:
Mayther, Laurence H.
This paper uses convex integration with avoidance and transversality arguments to prove the relative $h$-principle for closed $\mathrm{SL}(3;\mathbb{R})^2$ 3-forms on oriented 6-manifolds. As corollaries, it is proven that if an oriented 6-manifold $
Externí odkaz:
http://arxiv.org/abs/2309.15832
Autor:
Lin, Wei, Lei, Fengchun
Applying Morse theory, we give a standard form for a class of surfaces which includes all the properly embedded incompressible surfaces in 3-dimensional handlebodies. We also give a necessary and sufficient condition to determine the incompressibilit
Externí odkaz:
http://arxiv.org/abs/2212.05769
Autor:
Rabel, Martin
A generalized-homology bordism-theory is constructed, such that for certain manifold homotopy stratified sets (MHSS; Quinn-spaces) homeomorphism-invariant geometric fundamental-classes exist. The construction combines three ideas: Firstly, instead of
Externí odkaz:
http://arxiv.org/abs/2206.06329
Autor:
Queffelec, Hoel, Walker, Kevin
We use multijet transversality techniques to give a presentation by generators and relations of the categories of framed tangled webs and foams.
Comment: 88 pages, many figures
Comment: 88 pages, many figures
Externí odkaz:
http://arxiv.org/abs/2205.14947
This survey aims to provide a guide to the literature on topological 4-manifolds. Foundational theorems on 4-manifolds are stated, especially in the topological category. Precise references are given, with indications of the strategies employed in th
Externí odkaz:
http://arxiv.org/abs/1910.07372
Publikováno v:
Mediterr. J. Math. 14:6 (2017), art. 237, 15 pp
We introduce \textcolor{red}{general} new techniques for computing the geometric index of a link $L$ in the interior of a solid torus $T$. These techniques simplify and unify previous ad hoc methods used to compute the geometric index in specific exa
Externí odkaz:
http://arxiv.org/abs/1711.04267
Autor:
Karimov, Umed H., Repovš, Dušan D.
Publikováno v:
Mediterr. J. Math. 12:1 (2015), 205-217
The main results of this paper are: (1) If a space $X$ can be embedded as a cellular subspace of $\mathbb{R}^n$ then $X$ admits arbitrary fine open coverings whose nerves are homeomorphic to the $n$-dimensional cube $\mathbb{D}^n$; (2) Every $n$-dime
Externí odkaz:
http://arxiv.org/abs/1502.02129
Autor:
Hadar, Doron Ben
Publikováno v:
Algebr. Geom. Topol. 17 (2017) 1675-1700
I answer an open question left by Gui-Song Li in "On self-intersections of immersed surfaces" (AMS Proceedings, Volume 126, 1998, pp.3721-3726.) The intersection graph $M(i)$ of a generic surface $i:F \to S^3$ is the set of values which are either si
Externí odkaz:
http://arxiv.org/abs/1412.4340