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- W4293240767 abstract "Abstract We prove that if there exists a continuous surjection from a metric compact space 𝑋 onto a product <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:mrow> <m:mi>X</m:mi> <m:mo>×</m:mo> <m:mi>T</m:mi> </m:mrow> </m:math> Xtimes T , where 𝑇 is a <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:msub> <m:mi>T</m:mi> <m:mn>1</m:mn> </m:msub> </m:math> T_{1} second countable topological space which has the cardinality of the continuum, then there exists a surjection from 𝑋 onto the product <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:mrow> <m:mi>X</m:mi> <m:mo>×</m:mo> <m:mrow> <m:mo stretchy=false>[</m:mo> <m:mn>0</m:mn> <m:mo>,</m:mo> <m:mn>1</m:mn> <m:mo stretchy=false>]</m:mo> </m:mrow> </m:mrow> </m:math> Xtimes[0,1] , where the interval <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:mrow> <m:mo stretchy=false>[</m:mo> <m:mn>0</m:mn> <m:mo>,</m:mo> <m:mn>1</m:mn> <m:mo stretchy=false>]</m:mo> </m:mrow> </m:math> [0,1] is equipped with the usual Euclidean topology." @default.
- W4293240767 created "2022-08-27" @default.
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- W4293240767 date "2022-04-28" @default.
- W4293240767 modified "2023-10-14" @default.
- W4293240767 title "On 𝑇<sub>1</sub>- and 𝑇<sub>2</sub>-productable compact spaces" @default.
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- W4293240767 doi "https://doi.org/10.1515/gmj-2022-2162" @default.
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