Branched extensions of curves in orientable surfaces

Authors:
Cloyd L. Ezell and Morris L. Marx

Journal:
Trans. Amer. Math. Soc. **259** (1980), 515-532

MSC:
Primary 57M12; Secondary 30C15

DOI:
https://doi.org/10.1090/S0002-9947-1980-0567094-6

MathSciNet review:
567094

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Abstract | References | Similar Articles | Additional Information

Abstract: Given a set of regular curves in an orientable surface *N*, we are concerned with the existence and structure of all sense-preserving maps where

(a) *M* is a bordered orientable surface with boundary components ,

(b) ,

(c) at each interior point of *M*, there is an integer *n* such that *F* is locally topologically equivalent to the complex map .

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DOI:
https://doi.org/10.1090/S0002-9947-1980-0567094-6

Article copyright:
© Copyright 1980
American Mathematical Society