Add to ORKGAll spaces mentioned in this article are metrizable. Suppose X is an ANR, let f: X + Y be a (proper onto) cell-like map, and consider the following four statements. (1) Y is an ANR
Recently, R.J. Daverman and J.J. Walsh modified an example due to J. Taylor to obtain an example of ...
AbstractThe following question is studied. Suppose Y is a space with a covering . When and how can Y...
We assume that all spaces are normal and all maps are continuous. We write A∈ANR for a space A if A ...
AbstractThis paper studies some properties which are preserved by refinable maps when the domain is ...
We provide a machinery for transferring some properties of metrizable ANR-spaces to metrizable LCn-s...
AbstractA metrizable space X is the cell-like image of a metrizable space Z of dimension ⩽ n iff the...
AbstractA map ƒ:X′→ X is a UV∞-map provided for any xϵX and a neighborhood U of x there exists a nei...
AbstractSuppose X and Y are locally compact finite dimensional metric spaces and f:X ↠ Y is a map. T...
AbstractIn 1994, R. Cauty proved Geoghegan's conjecture on ANRs that a metrizable space X is an ANR ...
AbstractThe map F:X→Y is refinable if for each ε>0 there is an ε-map f from X onto Y that is ε-close...
a cell-like set and a cell-like map (definitions below). It will be discussed how these notions aris...
In recent years a number of generalizations of the notion of absolute neighborhood retract (ANR) hav...
Abstract: Classical results on the surjectivity and injectivity of parallel maps are shown to be ext...
summary:A covariant representation of the category of locales by approximate maps (mimicking a natur...
Cell-like mappings have been important in the study of mappings on manifolds. In some sense they gen...
Recently, R.J. Daverman and J.J. Walsh modified an example due to J. Taylor to obtain an example of ...
AbstractThe following question is studied. Suppose Y is a space with a covering . When and how can Y...
We assume that all spaces are normal and all maps are continuous. We write A∈ANR for a space A if A ...
AbstractThis paper studies some properties which are preserved by refinable maps when the domain is ...
We provide a machinery for transferring some properties of metrizable ANR-spaces to metrizable LCn-s...
AbstractA metrizable space X is the cell-like image of a metrizable space Z of dimension ⩽ n iff the...
AbstractA map ƒ:X′→ X is a UV∞-map provided for any xϵX and a neighborhood U of x there exists a nei...
AbstractSuppose X and Y are locally compact finite dimensional metric spaces and f:X ↠ Y is a map. T...
AbstractIn 1994, R. Cauty proved Geoghegan's conjecture on ANRs that a metrizable space X is an ANR ...
AbstractThe map F:X→Y is refinable if for each ε>0 there is an ε-map f from X onto Y that is ε-close...
a cell-like set and a cell-like map (definitions below). It will be discussed how these notions aris...
In recent years a number of generalizations of the notion of absolute neighborhood retract (ANR) hav...
Abstract: Classical results on the surjectivity and injectivity of parallel maps are shown to be ext...
summary:A covariant representation of the category of locales by approximate maps (mimicking a natur...
Cell-like mappings have been important in the study of mappings on manifolds. In some sense they gen...
Recently, R.J. Daverman and J.J. Walsh modified an example due to J. Taylor to obtain an example of ...
AbstractThe following question is studied. Suppose Y is a space with a covering . When and how can Y...
We assume that all spaces are normal and all maps are continuous. We write A∈ANR for a space A if A ...