🍩 Database of Original & Non-Theoretical Uses of Topology

1. Medium-Range Order Structure Controls Thermal Stability of Pores in Zeolitic Imidazolate Frameworks (2023)

   Rasmus Christensen, Yossi Bokor Bleile, Søren S. Sørensen, Christophe A. N. Biscio, Lisbeth Fajstrup, Morten M. Smedskjaer

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   • Amorphous materials
   • Data analysis
   • Glass
   • Molecular dynamics
   • Molecular structure
   • Molecular dynamic simulation
   • Accumulated persistence function
   • Alpha complexes
   • Persistent homology

2. Fundamentals on Base Stations in Urban Cellular Networks: From the Perspective of Algebraic Topology (2018)

   Ying Chen, Rongpeng Li, Zhifeng Zhao, Honggang Zhang

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   • Base stations
   • Cellular network
   • Alpha complexes
   • Betti numbers
   • Euler characteristic
   • Hurst exponents

3. Alpha, Betti and the Megaparsec Universe: On the Topology of the Cosmic Web (2011)

   Rien Van De Weygaert, Gert Vegter, Herbert Edelsbrunner, Bernard J. T. Jones, Pratyush Pranav, Changbom Park, Wojciech A. Hellwing, Bob Eldering, Nico Kruithof, E. G. P. Bos, Johan Hidding, Job Feldbrugge, Eline Ten Have, Matti Van Engelen, Manuel Caroli, Monique Teillaud

   Abstract

   We study the topology of the Megaparsec Cosmic Web in terms of the scale-dependent Betti numbers, which formalize the topological information content of...

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   • Cosmology
   • Point cloud
   • Alpha complexes
   • Betti numbers
   • Euler characteristic