Topological Methods in the Theory of Functions of a Single Complex Variable I. Deformation Types of Locally Simple Plane Curves

Marston Morse; Maurice Heins

doi:10.2307/1969200

Topological Methods in the Theory of Functions of a Single Complex Variable I. Deformation Types of Locally Simple Plane Curves

Annals of Mathematics ◽

10.2307/1969200 ◽

1945 ◽

Vol 46 (4) ◽

pp. 600 ◽

Cited By ~ 4

Author(s):

Marston Morse ◽

Maurice Heins

Keyword(s):

Complex Variable ◽

Plane Curves ◽

Topological Methods ◽

Single Complex

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Topological Methods in the Theory of Functions of a Single Complex Variable: I. Deformation Types of Locally Simple Plane Curves

Proceedings of the National Academy of Sciences ◽

10.1073/pnas.31.9.299 ◽

1945 ◽

Vol 31 (9) ◽

pp. 299-301

Author(s):

M. Morse ◽

M. Heins

Keyword(s):

Complex Variable ◽

Plane Curves ◽

Topological Methods ◽

Single Complex

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Topological Methods in the Theory of Functions of a Single Complex Variable: III. Casual Isomorphisms in the Theory of Pseudo-Harmonic Functions

Annals of Mathematics ◽

10.2307/1969246 ◽

1946 ◽

Vol 47 (2) ◽

pp. 233 ◽

Cited By ~ 1

Author(s):

Marston Morse ◽

Maurice Heins

Keyword(s):

Complex Variable ◽

Harmonic Functions ◽

Topological Methods ◽

Single Complex

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Non-Linear A-Proper Mappings of the Analytic Type

Canadian Journal of Mathematics ◽

10.4153/cjm-1973-047-2 ◽

1973 ◽

Vol 25 (3) ◽

pp. 468-474 ◽

Cited By ~ 2

Author(s):

A. J. B. Potter

Keyword(s):

Banach Space ◽

Open Subset ◽

Complex Variable ◽

Complex Banach Space ◽

Non Linear ◽

Single Complex

Let Y be a complex Banach space, U an open subset of Y, f a mapping of U into Y. Then f is said to be complex analytic if for each pair of elements x and y of Y with x in U, the function f(x + ξy) of the single complex variable ξ is analytic in ξ on some neighbourhood of the origin.

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