Hostname: page-component-76fb5796d-2lccl Total loading time: 0 Render date: 2024-04-27T00:59:51.705Z Has data issue: false hasContentIssue false
  • English
  • Français

The Jordan Curve Theorem via Complex Analysis

Published online by Cambridge University Press:  20 November 2018

Gollakota V. V. Hemasundar  and
R. R. Simha
Gollakota V. V. Hemasundar
Affiliation:
Dept. of Mathematics, S.I.W.S.College, 337, Sewree-Wadala Estate, Wadala, Mumbai-400031, e-mail: gvvhemasundar@yahoo.co.in
R. R. Simha
Affiliation:
School of Mathematics, Tata Institute of Fundamental Research, Mumbai-400005, e-mail: simhahome@yahoo.com
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The aim of this article is to give a proof of the Jordan Curve Theorem via complex analysis.

Keywords

55P1530G12Jordan Curve Theorem
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 61 , Issue 1 , 01 March 2018 , pp. 124 - 129
Copyright
Copyright © Canadian Mathematical Society 2018

References

[1] Hörmander, L., An introduction to complex analysis in several variables. D. Van Nostrand Co. Inc., Princeton, NJ-Toronto-London, 1967.Google Scholar
[2] Hurewicz, W. and Wallman, H., Dimension theory. Princeton Mathematical Series, 4, Princeton University Press, Princeton, NJ, 1941.Google Scholar
[3] Shastri, A. R., Basic complex analysis ofone variable. Macmillan India, 2011.Google Scholar
[4] Spanier, E. H., Algebraic topology. McGraw-Hill, New York-Toronto-London, 1966.Google Scholar
[5] Stein, E. M. and Shankarchi, R., Complex analysis. Princeton Lectures in Analysis, II, Princeton University Press, Princeton, NJ, 2003.Google Scholar