Hyperbolic topology and bounded locally homeomorphic quasiregular mappings in 3-space

• Published in: Український математичний вісник
• Date: 2019
• Main Author: Apanasov, B.N.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/169429
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Hyperbolic topology and bounded locally homeomorphic quasiregular mappings in 3-space / B.N. Apanasov // Український математичний вісник. — 2019. — Т. 16, № 1. — С. 10-27. — Бібліогр.: 26 назв. — англ.

We use our new type of bounded locally homeomorphic quasiregular mappings in the unit 3-ball to address long standing problems for such mappings, including the Vuorinen injectivity problem. The construction of such mappings comes from our construction of non-trivial compact 4-dimensional cobordisms...