Lattices of coarse structures |
|
| Author |
i.v.protasov@gmail.com, ksuha@freenet.com.ua
Faculty of Computer Science and Cybernetics
Kyiv University, Kyiv, Ukraine
|
| Abstract |
We consider the lattice of coarse structures on a set X and study metrizable, locally finite
and cellular coarse structures on X from the lattice point of view.
|
| Keywords |
coarse structure; ballean; lattice of coarse structures
|
| DOI |
doi:10.15330/ms.48.2.115-123
|
| Reference |
1. D. Dikranjan, N. Zava, Some categorical aspects of coarse structures and balleans, Topology Appl., 225
(2017), 164–194.
2. A. Dranishnikov, Asymptotic topology, Russian Math. Surveys, 55 (2000), 1085–1129. 3. M. Filali, Ie. Lutsenko, I. Protasov, Boolean group ideal and the ideal structure of $\beta G$, Mat. Stud., 31 (2009), 19–28. 4. P. Harpe, Topics in geometrical group theory, University Chicago Press, 2000. 5. O.V. Petrenko, I.V. Protasov, Balleans and G-spaces, Ukr. Math. Jh., 64 (2012), 344–350. 6. I.V. Protasov, Balleans of bounded geometry and G-spaces, Mat. Stud., 30 (2008), 61–66. 7. I. Protasov, T. Banakh, Ball structures and colorings of groups and graphs, Math. Stud. Monogr. Ser., V.11, VNTL, Lviv, 2003. 8. I.V. Protasov, O.I. Protasova, Sketch of group balleans, Math. Stud., 22 (2004), 10–20. 9. I. Protasov, M. Zarichnyi, General Asymptopogy, Math. Stud. Monogr., V.12, VNTL, Lviv, 2007. 10. O.I. Protasova, Maximal balleans, Appl. Gen. Topology, 7 (2006), 151–163. 11. J. Roe, Lectures on Coarse Geometry, AMS University Lecture Ser.31, Providence, RI, 2003. |
| Pages |
115-123
|
| Volume |
48
|
| Issue |
2
|
| Year |
2017
|
| Journal |
Matematychni Studii
|
| Full text of paper | |
| Table of content of issue |