Reconstruction of compacta by finite approximations and inverse persistence-Reference-Cited by-同舟云学术

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Reconstruction of compacta by finite approximations and inverse persistence

Published:2020-04-28 Issue:2 Volume:34 Page:559-584
ISSN:1139-1138
Container-title:Revista Matemática Complutense
language:en
Short-container-title:Rev Mat Complut

Author:

Mondéjar Ruiz Diego^ORCID,Morón Manuel A.

Funder

Ministerio de Ciencia e Innovación

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s13163-020-00356-w.pdf

Reference48 articles.

1. Alexandroff, P.: Untersuchungen über Gestalt und Lage abgeschlossener Mengen beliebiger Dimension. Ann. Math. (2) 30(1-4), 101–187 (1928/29)

2. Alexandroff, P.: Diskrete raüme. Math. Sb. 2, 501–518 (1937)

3. Alonso-Morón, M., Cuchillo-Ibañez, E., Luzón, A.: $$\epsilon $$-Connectedness, finite approximations, shape theory and coarse graining in hyperspaces. Phys. D 237(23), 3109–3122 (2008)

4. Alonso-Morón, M., Gómez, A.G.: Upper semifinite hyperspaces as unifying tools in normal Hausdorff topology. Topol. Appl. 154(10), 2142–2153 (2007)

5. Alonso-Morón, M., González Gómez, A.: Homotopical properties of upper semifinite hyperspaces of compacta. Topol. Appl. 155(9), 972–981 (2008)

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1. On the triviality of flows in Alexandroff spaces;Topology and its Applications;2023-11

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3. Computational approximations of compact metric spaces;Physica D: Nonlinear Phenomena;2022-05

4. Polyhedral expansions of compacta associated to finite approximations;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2022-04-20

5. Topological realizations of groups in Alexandroff spaces;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2020-11-23

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