Stoïlow's theorem revisited
Finna-arvio
Stoïlow's theorem revisited
1701.05726.pdf
(Jyväskylän yliopisto - JYX)
Stoïlow’s theorem from 1928 states that a continuous, open, and light map between surfaces is a discrete map with a discrete branch set. This result implies that such maps between orientable surfaces are locally modeled by power maps z→zk and admit a holomorphic factorization.The purpose of this expository article is to give a proof of this classical theorem having readers in mind that are interested in continuous, open and discrete maps.
Tallennettuna:
Kieli |
englanti |
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Sarja | Expositiones Mathematicae, 3 |
Aiheet | |
ISSN |
0723-0869 |