Shape theory
The paper is a review of basic concepts and the currently most important results in shape theory. Several other challenges and results related to this theory are also presented. The extensive set of references is a reliable starting point for further detailed and systematic studies. The topics covered are: \begin{itemize} \item basic construction of shape theory \item the shape classification of spaces \item complement theorems in shape theory \item movability and other shape invariants \item stable spaces and shape retracts \item Whitehead's and Hurewicz' theorems in shape theory \item the shape dimension of spaces and maps \item embeddings in shape theory \item cell-like maps and shape theory \end{itemize}
scientific article; zbMATH DE number 7436589
scientific article