Geodesic
The covering dimension of Wood spaces
Glasgow mathematical journal, Tome 44 (2002) no. 2, pp. 311-316

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A Banach space is called (almost) transitive if the isometry group acts (almost) transitively on the unit sphere. The main problems around transitivity are the Banach-Mazur conjecture that the only separable and transitive Banach spaces are the Hilbert ones (1930) and the Wood conjecture that C_0(L) cannot be almost transitive in its natural supremum norm unless L is a singleton (1982). In this note we give necessary and sufficient conditions on the locally compact space L for the (almost) transitivity of C_0(L). This will clarify the topological content of Wood's problem. 
Sánchez, Félix Cabello. The covering dimension of Wood spaces. Glasgow mathematical journal, Tome 44 (2002) no. 2, pp. 311-316. doi: 10.1017/S0017089502020128
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