On asymorphisms of finitary coarse spaces

  • I. V. Protasov Taras Shevchenko National University of Kyiv, Kyiv
Keywords: bornology; coarse space; asymorphism

Abstract

We characterize finitary coarse spaces X such that every permutation of X is an asymorphism.

Author Biography

I. V. Protasov, Taras Shevchenko National University of Kyiv, Kyiv

Taras Shevchenko National University of Kyiv, Kyiv

References

D. Dikranjan, I. Protasov, K. Protasova, N. Zava, Balleans, hyperballeans and ideals, Appl. Gen. Topology, 20 (2019), 431–447.

I.V. Protasov, Balleans of bounded geometry and G-spaces, Algebra Discrete Math., 7 (2008), №2, 101–108.

I. Protasov, Decompositions of set-valued mappings, Algebra Discrete Math., 30 (2020), №2, 235–238.

I. Protasov, T. Banakh, Ball structures and colorings of groups and graphs, Math. Stud. Monogr. Ser., V.11, VNTL, Lviv, 2003.

I. Protasov, M. Zarichnyi, General Asymptology, Math. Stud. Monogr. Ser., Vol. 12, VNTL, Lviv, 2007.

J. Roe, Lectures on Coarse Geometry, Univ. Lecture Ser., V. 31, American Mathematical Society, Providence RI, 2003.

Published
2021-12-26
How to Cite
Protasov, I. V. (2021). On asymorphisms of finitary coarse spaces. Matematychni Studii, 56(2), 212-214. https://doi.org/10.30970/ms.56.2.212-214
Section
Research Announcements