Electronic Version 17 (1992), 343-349

Helma Gladdines and Jan van Mill

If X is a space then L(X) denotes the subspace of C(X) consisting of all Peano (sub)continua. We announce here that for n >= 3 the space L(\Bbb Rⁿ) is topologically homeomorphic to B^\infty, where B denotes the pseudo-boundary of the Hilbert cube Q.

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topology proceedings Electronic Version