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pro vyhledávání: '"Lofano, Davide"'
Autor:
Lofano, Davide, Lutz, Frank H.
We construct a series HMT$(n)$ of $2$-dimensional simplicial complexes with torsion $H_1($HMT$(n))=(\mathbb{Z}_2)^{{k}\choose{1}} \times (\mathbb{Z}_4)^{{k}\choose{2}} \times \cdots \times (\mathbb{Z}_{2^k})^{{k}\choose{k}}$, $|H_1($HMT$(n))|=|$det(H
Externí odkaz:
http://arxiv.org/abs/2109.13052
We implement an algorithm RSHT (Random Simple-Homotopy) to study the simple-homotopy types of simplicial complexes, with a particular focus on contractible spaces and on finding substructures in higher-dimensional complexes. The algorithm combines el
Externí odkaz:
http://arxiv.org/abs/2107.09862
Autor:
Lofano, Davide, Newman, Andrew
In general a contractible complex need not be collapsible. Moreover, there exist complexes which are collapsible but even so admit a collapsing sequence where one "gets stuck", that is one can choose the collapses in such a way that one arrives at a
Externí odkaz:
http://arxiv.org/abs/1905.07329
Autor:
Lofano, Davide, Paolini, Giovanni
Publikováno v:
Discrete Mathematics 344 (3), 2021
We construct a new class of maximal acyclic matchings on the Salvetti complex of a locally finite hyperplane arrangement. Using discrete Morse theory, we then obtain an explicit proof of the minimality of the complement. Our construction provides int
Externí odkaz:
http://arxiv.org/abs/1809.02476
Publikováno v:
Journal of Applied & Computational Topology; Sep2024, Vol. 8 Issue 3, p531-555, 25p
Sphere recognition is known to be undecidable in dimensions five and beyond, and no polynomial time method is known in dimensions three and four. Here we report on positive and negative computational results with the goal to explore the limits of sph
Externí odkaz:
http://arxiv.org/abs/1405.3848
Autor:
Lofano, Davide
Since the beginning of Topology, one of the most used approaches to study a geometric object has been to triangulate it. Many invariants to distinguish between different objects have been introduced over the years, the two most important surely being
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od_______793::f40683156a15f771f879f051708b6a6f
https://depositonce.tu-berlin.de/handle/11303/16740
https://depositonce.tu-berlin.de/handle/11303/16740
Publikováno v:
Journal of Applied & Computational Topology; Dec2022, Vol. 6 Issue 4, p503-527, 25p
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