The critical points of Peanointerior functions defined on $2$manifolds
HTML articles powered by AMS MathViewer
 by William C. Fox PDF
 Trans. Amer. Math. Soc. 83 (1956), 338370 Request permission
References

Felix Klein, Ueber Riemann’s Theorie der algebraischen Functionen und ihrer Integrale, Leipzig, Teubner, 1882.
Rolf Nevanlinna, Eindeutige analytische Functionen, Berlin, Springer, 1936.
 J. L. Walsh, Note on the location of the critical points of harmonic functions, Bull. Amer. Math. Soc. 52 (1946), 346–347. MR 15187, DOI 10.1090/S00029904194608581X Marston Morse and George B. Van Schaack, The critical point theory under general boundary conditions, Ann. of Math. vol. 35 (1934) p. 545.
 Marston Morse, The calculus of variations in the large, American Mathematical Society Colloquium Publications, vol. 18, American Mathematical Society, Providence, RI, 1996. Reprint of the 1932 original. MR 1451874, DOI 10.1090/coll/018 7. M. Morse and M. Heins, Topological methods in the theory of functions of a single complex variable, I and II, Ann. of Math. vol. 46 (1945) pp. 600 and 625. —, Topological methods in the theory of functions of a single complex variable, III, Ann. of Math. vol. 47 (1946) p. 233.
 Marston Morse, Topological Methods in the Theory of Functions of a Complex Variable, Annals of Mathematics Studies, No. 15, Princeton University Press, Princeton, N. J., 1947. MR 0021089 Yukanari Tôki, A topological characterization of pseudoharmonic functions, Osaka Mathematical Journal vol. 3 (1951) p. 101.
 Gordon Thomas Whyburn, Analytic topology, American Mathematical Society Colloquium Publications, Vol. XXVIII, American Mathematical Society, Providence, R.I., 1963. MR 0182943
 Raymond Louis Wilder, Topology of Manifolds, American Mathematical Society Colloquium Publications, Vol. 32, American Mathematical Society, New York, N. Y., 1949. MR 0029491 H. Seifert and W. Threlfall, Lehrbuch der Topologie, New York Chelsea, 1947.
Additional Information
 © Copyright 1956 American Mathematical Society
 Journal: Trans. Amer. Math. Soc. 83 (1956), 338370
 MSC: Primary 27.5X
 DOI: https://doi.org/10.1090/S00029947195600845899
 MathSciNet review: 0084589