The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Displaying similar documents to “Some theorems about the embeddability of ANR-sets into decomposition spaces of E n

Size levels for arcs

Sam Nadler, T. West (1992)

Fundamenta Mathematicae

Similarity:

We determine the size levels for any function on the hyperspace of an arc as follows. Assume Z is a continuum and consider the following three conditions: 1) Z is a planar AR; 2) cut points of Z have component number two; 3) any true cyclic element of Z contains at most two cut points of Z. Then any size level for an arc satisfies 1)-3) and conversely, if Z satisfies 1)-3), then Z is a diameter level for some arc.

Spaces of ANR's

B. Ball, Jo Ford (1972)

Fundamenta Mathematicae

Similarity: