Complex sentence: Spanier cohomology is a cohomology theory for topological spaces, introduced by for the special case of compact metric spaces, and by for all topological spaces, based on a suggestion of A. D. Wallace.
Split into simpler sentences: Spanier cohomology is a cohomology theory for topological spaces. It was introduced by for the special case of compact metric spaces, and by for all topological spaces, based on a suggestion of A. D. Wallace.