In summary, there exists another
commutative diagram below:
For each [bar.[beta]] [member of] [[PI].sub.2]/[[GAMMA].sub.2] and [beta] [member of] [u.sup.-1.sub.2] ([bar.[beta]]), we have the following
commutative diagramthrough the morphism [J.sup.[infinity]] (50) and an A-module homomorphism [f.sup.[DELTA].sub.[infinity]] = [f.sup.[summation]] [omicron] [[pi].sup.[infinity].sub.k] (Example 16) in accordance with the
commutative diagramLet [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] be the fuzzy hyperboloid, then the relation between the fuzzy folding [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] and the limit of the fuzzy retractions [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] is discussed from the following
commutative diagram.
If M is an A-G-module where G acts rationally on A and M is a rational G-module, finitely generated as an A-module, then an A-free (projective) resolution of M can be lifted to an A-G-free resolution, that is a
commutative diagramThese three isometries form the
commutative diagram in Figure 3.3 (a).
The
commutative diagram (2.1) implies that B[A.sup.r] = [A.sup.r]B.
(a-ii) G fixes a point not lying on C and there exists a
commutative diagramGiven a k-string link f, the n-level group diagram for f, n [greater than or equal to] 2, is the
commutative diagram