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Beyond the Non-Hermitian Skin Effect: Scaling-Controlled Topology from Exceptional-Bound Bands. [PDF]

Adv Sci (Weinh)
Yang M, Lee CH.
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Spaces and sequences in the hippocampus: a homological perspective. [PDF]

J Comput Neurosci
Babichev A, Vashin V, Dabaghian Y.
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Triangulating topological spaces

Proceedings of the tenth annual symposium on Computational geometry - SCG '94, 1994
Given a subspace [Formula: see text] and a finite set S⊆ℝd, we introduce the Delaunay complex, [Formula: see text], restricted by [Formula: see text]. Its simplices are spanned by subsets T⊆S for which the common intersection of Voronoi cells meets [Formula: see text] in a non-empty set. By the nerve theorem, [Formula: see text] and [Formula: see text]
Edelsbrunner, Herbert, Shah, Nimish R.
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Ultracomplete Topological Spaces

Acta Mathematica Hungarica, 2001
If \(X\) is a set and \(\Sigma\) is a set of coverings of \(X\), then we can consider \((X,\Sigma)\) to be a generalized uniform space. This point of view originates from the work of \textit{J. W. Tukey} [Convergence and uniformity in topology, Princeton (1940)] who used \((X,\Sigma)\), where \(\Sigma\) fulfills some appropriate conditions, as another ...
Buhagiar, D., Yoshioka, I.
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Topological Shift Spaces

advg, 2005
Abstract Two of the problems listed in [14, 74.17] ask to prove or disprove the following statements: A) For each differentiable planar map ƒ : IR2 → IR2 the set of all differentials defines a ...
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Topology and Topological Spaces

1997
We have now seen four different proofs of the Fundamental Theorem of Algebra. The first two were purely analysis, while the second pair involved a wide collection of algebraic ideas. However, we should realize that even in these algebraic proofs we did not totally leave analysis.
Benjamin Fine, Gerhard Rosenberger
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