yes, since every closed set can be written as a intersection of open sets. (Recall that borel sets is sigma algebra)
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.
The number of subsets of any set must be a whole number.
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.
The if statement must contain else.
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.
A Plasma must contain many ions and electrons.
For radioactive dating to be possible, the sample must contain a measurable amount of a radioactive isotope with a known decay rate. The sample must be isolated from sources of contamination that could affect the accuracy of the dating. Additionally, the sample must have remained a closed system since the radioactive isotopes were incorporated, in order to accurately measure the decay products.
The sample must contain Uranium-235.
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.
Cells must contain chloroplasts, which are organelles that contain chlorophyll, in order to perform photosynthesis.
For you to write to a disk, the write-protect notch must be closed.
it doesnt!?