Timeline for Topological characterization of injective metric spaces
Current License: CC BY-SA 3.0
3 events
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| Oct 24, 2014 at 15:50 | comment | added | Włodzimierz Holsztyński | Thank you, @Andrej, for the reference. It is not related (directly) to the question of characterization, it is not even mentioned as long as I know (actually, I've never saw it mentioned). This E&K's text belongs to the school represented for a long time by W.A.Kirk, which is concerned with non-expanding (i.e. metric) maps of metric spaces and their fixed point property--one could say, with the difficult case of this kind of the fixed point property as opposed by the Banach fpp theorem which can be considered the easy case. | |
| Oct 24, 2014 at 15:44 | comment | added | Włodzimierz Holsztyński | Equivalence of A&P's binary intersection property and metric injectivity is about the earliest and most fundamental; I've written in my OM-QUestion from the start: Injective metric spaces were introduced ... under the hyper-convex spaces, via a binary intersection property of closed balls. Equivalently, a metric space (Z ρ) is called injective .... Thus this much should be clear from the QUESTION statement. (will continue below) | |
| Oct 24, 2014 at 12:02 | history | answered | Andrej Bauer | CC BY-SA 3.0 |