Classic Version. Paperback, Pearson
- Advanced topics such as metrization and imbedding theorems, function spaces, and dimension theory are covered after connectedness and compactness.
- Order of topics proceeds naturally from the familiar to the unfamiliar: Begins with the familiar set theory, moves on to a thorough and careful treatment of topological spaces, then explores connectedness and compactness (with their many ties to calculus and analysis), and then branches out to the new and different topics mentioned above.
- 1- or 2-semester coverage: Provides separate, distinct sections on general topology and algebraic topology. Each of the text's 2 parts is suitable for a one-semester course, giving instructors a convenient single text resource for bridging between the courses. The text can also be used where algebraic topology is studied only briefly at the end of a single-semester course.
- Many examples and figures: Exploits six basic counterexamples repeatedly and avoids overemphasis on “weird counterexamples.”
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Exercises are varied in difficulty from the routine to the challenging. Supplementary exercises at the end of several chapters explore additional topics.
- Deepens students' understanding of concepts and theorems just presented versus mere test comprehension. The supplementary exercises can be used by students as a foundation for an independent research project or paper.