|
|||||
 |
|
|
|
|
|
|
|
Vietoris–Rips complexes
of platonic solids
Nada Saleh, Thomas Titz Mite and Stefan Witzel |
|
Vol. 21 (2024), No. 1, 17–34
|
Abstract |
|
We determine the homotopy type of the Vietoris–Rips complexes of the (vertex sets of the) platonic solids. The most interesting case is that the Vietoris–Rips complex of the dodecahedron is a wedge of nine -spheres when the parameter is between combinatorial distance and . |
PDF Access Denied
We have not been able to recognize your IP address
18.188.175.197
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for USD 40.00:
Keywords
Vietoris–Rips complex, platonic solid, discrete Morse
theory
|
Mathematical Subject Classification
Primary: 55N31
Secondary: 05E45, 51M20, 57Q70
|
Milestones
Received: 17 July 2023
Accepted: 15 January 2024
Published: 31 May 2024
|
Authors |
| Nada Saleh | |
| Linden Germany |
|
| Thomas Titz Mite | |
| Mathematical Institute Gießen University Gießen Germany |
|
| Stefan Witzel | |
| Mathematical Institute Gießen University Gießen Germany |
|
| © 2024 The Author(s), under exclusive license to MSP (Mathematical Sciences Publishers). |
