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yes, since every closed set can be written as a intersection of open sets. (Recall that borel sets is sigma algebra)
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How is it possible for a set to have an odd number of subsets?
It is impossible. If a set has n elements, the cardinality of its power set [the number of its subsets] is 2n which must be even.
Are subset numbers whole numbers?
The number of subsets of any set must be a whole number.
What axioms must be satisfied for a collection of subsets to be called a topology on a set?
There are three axioms that must be satisfied for a collection of subsets, t, of set B to be called a topology on B.1) Both B and the empty set, Ø, must be members of t.2) The intersection of any two members of t must also be a member of t.3) The union of any family of members of t must also be a member of t.If these axioms are met, the members of t are known as t-open or simply open, subsets of B.See related links.
What happens if statement must contain an?
The if statement must contain else.
How cardinality relates to the number of subsets of a set?
Cardinality is simply the number of elements of a given set. You can use the cardinality of a set to determine which elements will go into the subset. Every element in the subset must come from the cardinality of the original set. For example, a set may contain {a,b,c,d} which makes the cardinality 4. You can choose any of those elements to form a subset. Examples of subsets may be {a,c} {a, b, c} etc.
Must a term contain a varible?
A term must contain a variable, for it to be relevant.
A plasma must contain many what?
A Plasma must contain many ions and electrons.
What are proper subsets and improper subsets?
If set A is a subset of set B, that means that all elements in set A are also in set B. In the case of a proper subset, there is the additional specification that the two sets are not equal, i.e., there must be an element in set B that is not also an element of set A.
To write to a floppy disk is it necessary for the write-protect notch to be open or closed?
For you to write to a disk, the write-protect notch must be closed.
Why must the lips be closed when swallowing?
it doesnt!?
What is an equation that contains a term?
Every equation must contain a term! In fact it must contain at least two.
What are the limitation of the probability?
Probability of an even must lie in the closed interval [0, 1].Probability of an even must lie in the closed interval [0, 1].Probability of an even must lie in the closed interval [0, 1].Probability of an even must lie in the closed interval [0, 1].
