Abstract
So far, our arguments mainly dealt with analysis. In this chapter, we make a bigger step in the direction of topology. In fact, we will prove a famous topological theorem (Brouwer’s Fixed Point Theorem) and formulate a second one (Jordan’s Closed Curve Theorem). A complete proof of the latter will be given in Chapter 16.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bell, E.T., Development of Mathematics, McGraw-Hill Book Company, 1945.
van Dalen, D., The War of the Frogs and the Mice, or the Crisis of the Mathematische Annalen, Mathematical Intelligencer 12 (1990), 17–31.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1997 Springer Science+Business Media New York
About this chapter
Cite this chapter
Buskes, G., van Rooij, A. (1997). Curves in the Plane. In: Topological Spaces. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0665-1_4
Download citation
DOI: https://doi.org/10.1007/978-1-4612-0665-1_4
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6862-8
Online ISBN: 978-1-4612-0665-1
eBook Packages: Springer Book Archive