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On the Rosenthal Compacta and Analytic Sets
1992
Proceedings of the American Mathematical Society
Preserved Fulltext
We consider pointwise convergence in a separable Rosenthal compactum. The main result is that if X C R" is a Rosenthal compactum, Y c X is countable dense and x € X , then the following are equivalent : (i) Y has a countable base at x . (ii) {(y¡) £ Ya '■ lim,-,oo^¡ = *} 's analytic, when Y has the discrete topology.
doi:10.2307/2159361
fatcat:2c75suq5nbarbfsikswmbnqmx4