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Oct 9, 2021 at 18:05 vote accept Robert Thingum
Oct 8, 2021 at 7:32 answer added KP Hart timeline score: 1
Oct 7, 2021 at 21:33 comment added Henno Brandsma Engelking has a compact Hausdorff example by Lokucievskii that has $\dim(X)=1=\operatorname{ind}(X) < 2 = \operatorname{Ind}(X)$.
Oct 6, 2021 at 17:32 comment added Robert Thingum It looks like one such condition is that $dim(X)\leq n$ and there is either a metrizable space $Y$ and a continuous $f:X\rightarrow Y$ such that $dim(f)=0$ or else a perfectly zero dimensional space $Z$ and a continuous closed surjection $f:Z\rightarrow X$ such that the preimage of any $x\in X$ has at most $n+1$ points in $Z$.
Oct 6, 2021 at 15:58 history edited Robert Thingum CC BY-SA 4.0
Added link to russian paper
Oct 6, 2021 at 14:34 history edited Robert Thingum CC BY-SA 4.0
general edits
Oct 6, 2021 at 12:30 history edited YCor CC BY-SA 4.0
formatting
Oct 6, 2021 at 11:59 history edited Robert Thingum CC BY-SA 4.0
Fixed a reference
Oct 6, 2021 at 11:41 history edited Robert Thingum CC BY-SA 4.0
Clarified question.
Oct 6, 2021 at 8:50 history asked Robert Thingum CC BY-SA 4.0