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摘要


Let X be an abstract set and L a lattice of subsets of X. To each lattice-regular measure μ, we associate two induced measures □ and □ on suitable lattices of the Wallman space I_R(L) and another measure μ' on the space I_R^σ(L). We will investigate the reflection of smoothness properties of μ onto □, □ and μ'; and try to set some new criterion for repleteness and measure repleteness.

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