Fixed point theorems and fixed point index for countably condensing maps
The fixed point index is introduced under certain compactness assumptions on countable sets. The author proves many important theorems, statements which are equivalent, properties for the index of \((F,\Omega)\) (fixed point property, homotopy invariance, additivity, normalization, restriction) and obtains a generalization of the Fredholm alternative.
scientific article; zbMATH DE number 1441655