Abstract
A rigid space is a topological vector space whose endomorphisms are all simply scalar multiples of the identity. A rigid space can be constructed so as to admit compact operators [14]. This paper proves that the rigid space admitting compact operators constructed in [14] can be modified to be an $AR$, and hence is homeomorphic to the Hilbert space $\ell_{2}$.
Citation
Jan Jaworowski. Nguyen to Nhu. Paul Sisson. "Rigid spaces and the AR-Property." Tsukuba J. Math. 25 (2) 413 - 442, December 2001. https://doi.org/10.21099/tkbjm/1496164297
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