Titlebook: An Invitation to Coarse Groups; Arielle Leitner,Federico Vigolo Book 2023 The Editor(s) (if applicable) and The Author(s), under exclusive

陳腐思想

Properties of the Category of Coarse SpacesIn this chapter we review a few more properties and constructions regarding coarse maps and spaces. Some highlights include notions of coarse images, subspaces and intersections. These concept and the related language will be important in the sequel.

Slit-Lamp

Handedness

Coarse Homomorphisms, Subgroups and QuotientsLet . and . be coarse groups with coarse multiplication . and . respectively.

Agnosia

Pudendal-Nerve

Coarse KernelsIn this chapter we define the coarse kernel of a coarse homomorphism and show that the coarse analogs of the Isomorphism Theorems hold true. It is important to note that not all coarse homomorphisms have a well-defined coarse kernel.

推延

吹牛需要藝術

fixed-joint

On Bi-Invariant Word MetricsMany special examples of bi-invariant word metrics have been studied, generally under different names. Below we collect some of the instances that we are aware of, but the list is far from exhaustive.

ITCH

A Quest for Coarse Groups that are not Coarsified Set-GroupsMany of the explicit examples of coarse groups that we have given so far were obtained by equipping a set-group with an equi bi-invariant coarse structure.

明確

On Coarse Homomorphisms and Coarse AutomorphismsIn this chapter we study the group of coarse automorphisms of (coarsely connected) coarse groups.