陈腐思想
发表于 2025-3-25 05:23:27
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
发表于 2025-3-25 09:36:39
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Handedness
发表于 2025-3-25 12:32:39
Coarse Homomorphisms, Subgroups and QuotientsLet . and . be coarse groups with coarse multiplication . and . respectively.
Agnosia
发表于 2025-3-25 16:35:02
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Pudendal-Nerve
发表于 2025-3-25 20:22:42
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
发表于 2025-3-26 00:30:27
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吹牛需要艺术
发表于 2025-3-26 06:13:05
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fixed-joint
发表于 2025-3-26 11:42:22
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
发表于 2025-3-26 15:24:33
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.
明确
发表于 2025-3-26 19:29:30
On Coarse Homomorphisms and Coarse AutomorphismsIn this chapter we study the group of coarse automorphisms of (coarsely connected) coarse groups.