Abstract
A set M is said to be arcwise connected provided that if a, b is any point pair in M, then M contains a simple arc from a to b.
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
Bibliography
K. Kuratowski, Topologie I, Warsaw, 1933.
S. Mazurkiewicz, loc. cit.
K. Menger, Zur Begründung einer axiomatichen Theorie der Dimension, Monatshefte für Mathematik und Physik, vol. 36 (1929), pp. 193–218.
R. L. Moore, Foundations of Point Set Theory, American Mathematical Society Colloquium Publications, vol. 13, 1932; revised 1962.
R. L. Moore, On the foundations of plane analysis situs, Transactions of the American Mathematical Society, vol. 17 (1916), pp. 131–164.
H. Tietze, Über stetige Kurven, Jordansche Kurvenbogen und geschlossene Jordan Kurven, Mathematische Zeitschrift, vol. 5 (1919), pp. 284–291.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1979 Springer-Verlag New York Inc.
About this chapter
Cite this chapter
Whyburn, G., Duda, E. (1979). Arcwise Connectedness. In: Dynamic Topology. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-6262-3_21
Download citation
DOI: https://doi.org/10.1007/978-1-4684-6262-3_21
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4684-6264-7
Online ISBN: 978-1-4684-6262-3
eBook Packages: Springer Book Archive