engleski

Approximate systems with confluent bonding mappings

If X= {;Xn ; pnm ; N}; is a usual inverse system with confluent (monotone) bonding mappings, then the projections are confluent (monotone). This is not true for approximate inverse system as shows Example 1.2. The main purpose of this paper is to show that the property of Kelley (smoothness) of the spaces Xn is a sucient condition for the confluence (monotonicity) of the projections (Theorems 1.16 and 2.10).

Confluent mappings; approximate inverse

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