Title: Resource for deep knowledge of Point-Set Topology
Product review: This book is a must have for anyone who wants to contribute to remaining questions in point-set topology. Property inheritance relationship diagrams fill the book, quickly giving someone a good knowledge of all the classic point-set properties of spaces more thoroughly than is ever taught in grad-school these days. The only draw back is that the book and counterexamples deal strictly with point-set. How nice it would be to have a new edition (or volume two) of this type of book pertaining to algebraic topology. For example, what is an example of a non-contractible space with all zero homotopy groups? This question (and any algebraic top. questions) wont be answered in Steen's book.
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