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The class of primary self-maps of is a union of disjoint sets, of respective disjoint indexing sets and whose sum of respective cardinals equalizes that is (2.8).
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Denote the indexing set by.
Let H be a separable Hilbert space, and E an indexing set.
Now, divide the index sets as follows.
The first part concerns the sequence of nested index sets.
The following index sets will be used in the sequel.
where and are two finite index sets, and.
These sets are used as index sets of families in normed spaces.
where is a polynomial of degree, and are two finite index sets.
In the sequel, (I={1,2,ldots,m}) and (J={1,2,ldots,l}) are two index sets.
To define neighborhood types, we fix a sequence of nested index sets { M k } k = 0 ∞.
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