Abstract
A connected space is unicoherent provided that, no matter how it is represented as the union of two closed, connected sets, the intersection of these sets is connected.
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.
Bibliography
L. E. J. Brouwer, Beweis des Jordanschen Kurvensatz, Mathematische Annalen, vol. 69 (1910), pp. 169–175.
S. Eilenberg, Sur les transformations d’espaces métriques en circonférence, Fundamenta Mathematicae, vol. 24 (1935), pp. 160–176.
K. Kuratowski, Sur le continua de Jordan et le théoréme de M Brouwer, Fundamenta Mathematicae, vol. 13 (1929), pp. 307–318.
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). Unicoherence. In: Dynamic Topology. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-6262-3_26
Download citation
DOI: https://doi.org/10.1007/978-1-4684-6262-3_26
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