In this way we obtain an
injective mapping from [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] to [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII].
Let there be given an
injective mapping [??] [member of] [C.sup.3]([bar.[omega]]; [R.sup.3]), such that the two vectors
Every order embedding is necessarily an
injective mapping.
Suppose G is a [[LAMBDA].sup.[alpha]]-extension domain in [R.sup.n] and f is a K-quasiregular locally
injective mapping of G onto f(G) [subset] [R.sup.n].
An injective mapping (Equation) is called mean labeling of (Equation) if the induced edge function (Equation) defined as (Equation) is bijective.
An injective mapping is called mean labeling of (Equation) if the induced edge function (Equation) defined as
Since E([t.sup.+]) is a right zero band, s = [ss.sup.+] = [tft.sup.+] = [tt.sup.+] = t and hence [theta] is an
injective mapping.
If that is the case, then a subsequence of [f.sub.k] converges to some conformal
injective mapping [Mathematical Expression Omitted].
Lemma 7 There exists an
injective mapping f : [S.sub.1] [union] [S.sub.2] [right arrow] [B.sub.2] [union] [D.sub.2].
Recall that an embedding of a graph [GAMMA] in a graph [GAMMA]' is an
injective mapping of the vertex set of [GAMMA] to the vertex set of [GAMMA]' such that two vertices of [GAMMA] are adjacent if and only if their images are adjacent.