Artículos de revistas
On isomorphism classes of C(2(m) circle plus [0, alpha]) spaces
Fecha
2009Registro en:
FUNDAMENTA MATHEMATICAE, v.204, n.1, p.87-95, 2009
0016-2736
10.4064/fm204-1-5
Autor
GALEGO, Eloi Medina
Institución
Resumen
We provide a complete isomorphic classification of the Banach spaces of continuous functions on the compact spaces 2(m) circle plus [0, alpha], the topological sums of Cantor cubes 2(m), with m smaller than the first sequential cardinal, and intervals of ordinal numbers [0, alpha]. In particular, we prove that it is relatively consistent with ZFC that the only isomorphism classes of C(2(m) circle plus [0, alpha]) spaces with m >= N(0) and alpha >= omega(1) are the trivial ones. This result leads to some elementary questions on large cardinals.