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Continuous Gromov--Hausdorff distance
Authors: Semeon A. Bogaty, Alexey A. Tuzhilin
Keywords: metric space, Hausdorff distance, Gromov--Hausdorff distance, topological dimension, small and large inductive dimensions, hyperspace, continuum
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Keywords: metric space, Hausdorff distance, Gromov--Hausdorff distance, topological dimension, small and large inductive dimensions, hyperspace, continuum
Abstract
This paper is devoted to the study of the properties of a continuous analogue of the Gromov--Hausdorff distance.Semeon A. Bogaty
Faculty of Mechanics and Mathematics, Lomonosov
Moscow State University, Moscow 119992
E-mail:
Alexey A. Tuzhilin
Faculty of Mechanics and Mathematics, Lomonosov
Moscow State University, Moscow 119992
E-mail:
Faculty of Mechanics and Mathematics, Lomonosov
Moscow State University, Moscow 119992
E-mail:
Alexey A. Tuzhilin
Faculty of Mechanics and Mathematics, Lomonosov
Moscow State University, Moscow 119992
E-mail:
DOI
https://doi.org/10.56415/basm.y2025.i2-3.p90Fulltext
– 0.40 Mb
Contents
- Dissipative Dirac Operator on Time Scales
- On the Asymptotic Behavior of Solutions of the Cauchy Problem for a Hyperbolic Equation with Periodic Coefficients
- Global Attractors of Non-autonomous Lattice Dynamical Systems
- The relationships between common multiples of matrices over commutative Bézout domain of stable range 1.5
- Temporal Analysis of Hidden and Standard Markov Processes with Final Sequences of States
- Continuous Gromov--Hausdorff distance
- Polynomial algorithm for the disjoint bilinear programming problem with an acute-angled polytope for a disjoint subset
- Solution of a renewal equation in population biology and epidemiology
