By N. Bonvillain
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Extra info for A Grammar of Akwesasne Mohawk
In that case we write C(X) for either of them. • Either f or g must be bounded. • Any map either has a fixed point, or sends some point to its antipode. • But B is not divisible, hence C cannot be divisible either. elaborate [see also: complicated, intricate] Zilber has a more elaborate definition of this notion, but in fact his extra conditions are redundant. • One reason for using this rather elaborate model is that it permits a simple and concrete definition of the realization. elegant We make the following provisional definition, which is neither general nor particularly elegant, but is convenient for the induction which is to follow.
This is done to simplify the notation. • As the space of Example 3 shows, complete regularity of X is not enough to allow us to do that. • For binary strings, the algorithm does not do quite as well. • Recent improvements in the HLmethod enable us to do better than this. • In fact, we can do even better, and prescribe finitely many derivatives at each point of M . • A geodesic which meets bM does so either transversally or..... • We have not required f to be compact, and we shall not do so except when explicitly stated.
As defined in Section 1, these are structures of the form..... • The function f so defined satisfies..... • The notion of backward complete is defined analogously by exchanging the roles of f and f −1 . • The fact that the number T (p) is uniquely defined, even though p is not, enables us to define the nullity of A as follows. • The other two defining properties of a σ-algebra are verified in the same manner. definiteness [see also: idea, specific] Here Q can, for definiteness, be taken as F f .