A Furi-Pera theorem in Hausdorff topological spaces for acyclic maps.

Agarwal, Ravi P.; Dshalalow, Jewgeni H.; O'Regan, Donal

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Introduction Many authors have developed the topological degree theory and the fixed point theory for set-valued maps using homological techniques (see for example [19, 28, 27, 16]). Lately, an elementary technique of single-valued approximation (on the graph) (see [11, 1, 13, 5, 9, 2, 6, 7]) has been used in constructing the fixed point index for set-valued maps with compact values (see [21, 20, 4]). In [20, 4] authors consider set-valued...