This volume puts together results touching weak Asplund spaces which are currently spread throughout the literature. All subclasses are discussed, including interferences and counterexamples, with a special emphasis on topological implications. Nonseparable Banach spaces, renorming, and differentiability are stressed throughout. Proofs, many of them new and most of them "considerably better that their traditional counterparts", are presented when necessary. Related open questions conclude each chapter.