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Competitive Stats
Q70Section C (Part C)70 of 120

Topology — an uncountable product of intervals

Consider X=∏c∈(0,∞)[0,c]X=\prod_{c\in(0,\infty)}[0,c] together with the product topology, where [0,c][0,c] is equipped with the euclidean topology. Which of the following statements are necessarily true?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Options

Select every correct option, then submit.