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prove that every metric space is hausdorff and first countable
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Earn +20 ptsQ: Prove that countable space is countable?
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Continue Learning about Math & Arithmetic
Is few countable or uncountable?
few is countable
Is soap a countable or uncountable noun?
countable
Is any second category space a Baire space?
Yes, any second category space is a Baire space. A topological space is considered to be of second category if it cannot be expressed as a countable union of nowhere dense sets. Baire spaces are defined by the property that the intersection of countably many dense open sets is dense. Therefore, since second category spaces avoid being decomposed into countable unions of nowhere dense sets, they satisfy the conditions to be classified as Baire spaces.
Is something that is finite always countable?
Yes, finite numbers are always countable.
Is Sheet a countable or uncountable noun?
The noun sheet is a countable noun. The plural form is sheets.
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