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Mar 21, 2019 at 18:05 comment added Taras Banakh If $Y$ is a Polish space, then the answer affirmative (which can be proved applying the theory of absolute retracts).
Mar 18, 2019 at 22:45 comment added Ali Taghavi @HennoBrandsma yes thank you. I revised it.
Mar 18, 2019 at 22:45 history edited Ali Taghavi CC BY-SA 4.0
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Mar 18, 2019 at 21:12 comment added Henno Brandsma Shouldn't it be "$\mathbb{R}$ replaced by $Y$"? The usual name is an absolute extensor (for normal spaces), I believe.
Mar 18, 2019 at 19:15 history asked Ali Taghavi CC BY-SA 4.0