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.
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An independent probability is a probability that is not based on any other event.An example of an independent probability is a coin toss. Each toss is independent, i.e. not related to, any prior coin toss.An example of a dependent probability is the probability of drawing a second Ace from a deck of cards. The probability of the second Ace is dependent on whether or not a first Ace was drawn or not. (You can generalize this to any two cards because the sample space for the first card is 52, while the sample space for the second card is 51.)
It is simply the space, which may be any number if dimensions.
The greatest factor of any number is the number itself. The second greatest factor of any even number is half the number. The second greatest factor of any composite number is the number divided by its smallest prime factor. The second greatest factor of any prime number is 1.
12 to the second power is 144...2 to the second power is 4, any # to the second power is the # times itself.
Polyhedron.