Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

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
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Given a set of regular curves ${f_1} , \ldots , {f_\rho }$ in an orientable surface N, we are concerned with the existence and structure of all sense-preserving maps $F: M \to N$ where (a) M is a bordered orientable surface with $\rho$ boundary components ${K_1},\ldots , {K_\rho }$, (b) $F|{K_i} = {f_i}, i = 1, \ldots , \rho$, (c) at each interior point of M, there is an integer n such that F is locally topologically equivalent to the complex map $w = {z^n}$.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 57M12, 30C15

Retrieve articles in all journals with MSC: 57M12, 30C15


Additional Information

Article copyright: © Copyright 1980 American Mathematical Society