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Mar 5, 2018 at 7:49 comment added Alexander Osipov Taras, even for a metrizable compact, I do not know the answer. But great interest for perfectly normal spaces with a countable i-weight of power is no more than a continuum.
Mar 5, 2018 at 5:59 comment added Taras Banakh What about metrizable compact spaces $X$?
Mar 5, 2018 at 2:47 comment added Alexander Osipov The question can be narrowed down to perfectly normal spaces $X$ with a countable injective weight.
Mar 4, 2018 at 23:39 comment added Taras Banakh I think that for a countable Tychonoff space containing a non-trivial convergent sequence it is possible to prove that all three spaces are absorbing and hence topologically homogeneous. Is such answer satisfactory for your purposes?
Mar 4, 2018 at 20:26 comment added Alexander Osipov topology of pointwise convergence
S Mar 4, 2018 at 11:08 history suggested Santi Spadaro CC BY-SA 3.0
Improved grammar and removed two tags
Mar 4, 2018 at 11:01 review Suggested edits
S Mar 4, 2018 at 11:08
Mar 4, 2018 at 10:13 history asked Alexander Osipov CC BY-SA 3.0