An Approximate Nerve Theorem-Reference-Cited by-同舟云学术

An Approximate Nerve Theorem

Published:2017-09-06 Issue:5 Volume:18 Page:1245-1297
ISSN:1615-3375
Container-title:Foundations of Computational Mathematics
language:en
Short-container-title:Found Comput Math

Author:

Govc Dejan,Skraba Primoz

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Theory and Mathematics,Computational Mathematics,Analysis

Link

http://link.springer.com/article/10.1007/s10208-017-9368-6/fulltext.html

Reference37 articles.

1. Pankaj K Agarwal, Herbert Edelsbrunner, John Harer, and Yusu Wang. Extreme elevation on a 2-manifold. Discrete and Computational Geometry, 36(4):553–572, 2006.

2. Paul Alexandroff. Über den allgemeinen dimensionsbegriff und seine beziehungen zur elementaren geometrischen anschauung. Mathematische Annalen, 98(1):617–635, 1928.

3. Ulrich Bauer and Michael Lesnick. Induced matchings of barcodes and the algebraic stability of persistence. In Proceedings 30th Annual Symposium on Computational Geometry, page 355. ACM, 2014.

4. Omer Bobrowski and Sayan Mukherjee. The topology of probability distributions on manifolds. Probability Theory and Related Fields, 161(3-4):651–686, 2015.

5. Magnus Bakke Botnan and Gard Spreemann. Approximating persistent homology in euclidean space through collapses. arXiv preprint arXiv:1403.0533 2014.

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