Results 131 to 140 of about 697,969 (251)

On the connection between coordinate and diagonal arrangement complements [PDF]

open access: yesarXiv
We study diagonal arrangement complements $D(K)$ in $\mathbb{C}^m$. We consider the class of simplicial complexes $K$ in which any two missing faces have a common vertex, and prove that the coordinate arrangement complement $U(K)$ is the double suspension of the diagonal arrangement complement $D(K)$. In the case of subspace arrangements in $\mathbb{R}^
arxiv  

On the Laurent coefficients of the Riemann map for the complement of the Mandelbrot set [PDF]

open access: yesarXiv, 2014
We straighten a result of [5] about arithmetic properties of the Laurent coefficients of the conformal isomorphism from the complement of the unit disk onto the complement of the Mandelbrot set. This confirms an empirical observation by Don Zagier, see [1]
arxiv  

The operator of relative complementation [PDF]

open access: yesarXiv
By the operator of relative complementation is meant a mapping assigning to every element x of an interval [a,b] of a lattice L the set x^{ab} of all relative complements of x in [a,b]. Of course, if L is relatively complemented then x^{ab} is non-empty for each interval [a,b] and every element x belonging to it.
arxiv  

Cactus Graphs and Graphs Complement Conjecture [PDF]

open access: yesarXiv, 2018
In this paper we proof that any cactus graph satisfies graph complement conjecture by finding a orthogonal representation of its complement in $\mathbb{R}^5$.
arxiv  

Hyperbolicity of the complement of plane algebraic curves [PDF]

open access: yesAmer. J. Math. 117, 573-599 (1995), 1993
The paper is a contribution of the conjecture of Kobayashi that the complement of a generic plain curve of degree at least five is hyperbolic. The main result is that the complement of a generic configuration of three quadrics is hyperbolic and hyperbolically embedded as well as the complement of two quadrics and a line.
arxiv  

Convergence of Complementable Operators [PDF]

open access: yesarXiv
Complementable operators extend classical matrix decompositions, such as the Schur complement, to the setting of infinite-dimensional Hilbert spaces, thereby broadening their applicability in various mathematical and physical contexts. This paper focuses on the convergence properties of complementable operators, investigating when the limit of sequence
arxiv  

Complemented subspaces of locally convex direct sums of Banach spaces [PDF]

open access: yesarXiv, 2000
We show that a complemented subspace of a locally convex direct sum of an uncountable collection of Banach spaces is a locally convex direct sum of complemented subspaces of countable subsums. As a corollary we prove that a complemented subspace of a locally convex direct sum of arbitrary collection of $\ell_{1}(\Gamma)$-spaces is isomorphic to a ...
arxiv  

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