UNKNOTTING ORIENTABLE SURFACES IN THE 4-SPHERE

Authors
HILLMAN JA KAWAUCHI A
Citation
Ja. Hillman et A. Kawauchi, UNKNOTTING ORIENTABLE SURFACES IN THE 4-SPHERE, Journal of knot theory and its ramifications, 4(2), 1995, pp. 213-224
Citations number
21
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Journal of knot theory and its ramifications → ACNP
ISSN journal
02182165
Volume
4
Issue
2
Year of publication
1995
Pages
213 - 224
Database
ISI
SICI code
0218-2165(1995)4:2<213:UOSIT4>2.0.ZU;2-4
Abstract
We show that a topologically locally Bat embedding of a closed orienta ble surface in the 4-sphere is isotopic to one whose image Lies in the equatorial 3-sphere if and only if its exterior has an infinite cycli c fundamental group.