A. V. Karasev
Published 2003-12-12Version 1
In this note we introduce the concept of a quasi-finite complex. Next, we show that for a given countable and locally finite CW complex L the following conditions are equivalent: (i) L is quasi-finite. (ii) There exists a [L]-invertible mapping of a metrizable compactum X with e-dim X = [L] onto the Hilbert cube. Finally, we construct an example of a quasi-finite complex L such that its extension type [L] does not contain a finitely dominated complex.
Bockstein basis and resolution theorems in extension theory
Topologically invariant $σ$-ideals on the Hilbert cube
A proof of The Edwards-Walsh Resolution Theorem without Edwards-Walsh CW-complexes
![QR code for arXiv:math/0312269 [math.GT]](http://oss.arxitics.com/images/favicon.svg)