Mappings between ANRs that are fine homotopy equivalences
Mappings between ANRs that are fine homotopy equivalences
We extend Lacher's result [6,7] that a closed t/VĀ°Ā°-maĻ between locally compact, finite dimensional ANRs is a fine homotopy equivalence to the case of arbitrary separable ANRs. It is hoped that this theorem will be useful in studying manifolds modelled on the Hubert Cube. (See [1], section PF3. Added in ā¦