Two Polish coding spaces for separable Banach lattices are introduced, and the Fremlin tensor product on ideal codes is shown to be Sigma^0_2-measurable with a G_delta graph.
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C(X) is semiprojective as a Banach lattice iff the compact metric space X is an absolute neighbourhood retract.
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Polish spaces of separable Banach lattices
Two Polish coding spaces for separable Banach lattices are introduced, and the Fremlin tensor product on ideal codes is shown to be Sigma^0_2-measurable with a G_delta graph.
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Semiprojective Banach lattices
C(X) is semiprojective as a Banach lattice iff the compact metric space X is an absolute neighbourhood retract.