Part of the book series:Compact Textbooks in Mathematics ((CTM))
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Abstract
In this chapter, we examine the properties of topological spaces that can be transferred from one space to any other homeomorphic space. Such properties are called topological. The most important ones are connectivity, separation, and compactness. The first two are discussed in this chapter, and the last one is discussed in the next chapter.
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References
Engelking, R. (1968).Outline of general topology. North Holland.
Gordon, C. McA., & Luecke, J. (1989). Knots are determined by their complements.Journal of the American Mathematical Society,2, 371–415.
Steen, L. A., & Seebach, J. A. Jr. (1995).Counterexamples in topology. Dover Publications, Inc.
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Authors and Affiliations
Fakultät für Mathematik, Ruhr-Universität Bochum, Bochum, Germany
Gerd Laures
School of Mathematical and Physical Sciences, University of Sheffield, Sheffield, UK
Markus Szymik
- Gerd Laures
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- Markus Szymik
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Laures, G., Szymik, M. (2025). Connectivity and Separation. In: A Basic Course in Topology. Compact Textbooks in Mathematics. Birkhäuser, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-70602-2_3
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