Next Article in Journal
Decision-Making with Bipolar Neutrosophic TOPSIS and Bipolar Neutrosophic ELECTRE-I
Previous Article in Journal
Final Value Problems for Parabolic Differential Equations and Their Well-Posedness
Previous Article in Special Issue
Large Sets in Boolean and Non-Boolean Groups and Topology
Article Menu

Export Article

Open AccessArticle
Axioms 2018, 7(2), 32;

Varieties of Coarse Spaces

Faculty of Computer Science and Cybernetics, Kyiv University, Academic Glushkov pr. 4d, 03680 Kyiv, Ukraine
Received: 27 March 2018 / Revised: 22 April 2018 / Accepted: 10 May 2018 / Published: 14 May 2018
(This article belongs to the Collection Topological Groups)
Full-Text   |   PDF [239 KB, uploaded 14 May 2018]


A class M of coarse spaces is called a variety if M is closed under the formation of subspaces, coarse images, and products. We classify the varieties of coarse spaces and, in particular, show that if a variety M contains an unbounded metric space then M is the variety of all coarse spaces. View Full-Text
Keywords: coarse structure; coarse space; ballean; varieties of coarse spaces coarse structure; coarse space; ballean; varieties of coarse spaces
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

Share & Cite This Article

MDPI and ACS Style

Protasov, I. Varieties of Coarse Spaces. Axioms 2018, 7, 32.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics



[Return to top]
Axioms EISSN 2075-1680 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top