This article is cited in 6 papers

An infinite-dimensional separable pre-Hilbert space non-homeomorphic to any of its closed hyperplanes

S. A. Shkarin

M. V. Lomonosov Moscow State University

Abstract: An example is constructed of an infinite-dimensional separable pre-Hilbert space non-homeomorphic to any of its closed hyperplanes.

MSC: 46B15, 46B20, 46B45

Received: 15.04.1999

DOI: 10.4213/im271

 English version: Izvestiya: Mathematics, 1999, 63:6, 1263–1273

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