Complements of connected hypersurfaces in S4
2017 ◽
Vol 26
(02)
◽
pp. 1740014
◽
Let [Formula: see text] and [Formula: see text] be the complementary regions of a closed hypersurface [Formula: see text] in [Formula: see text]. We use the Massey product structure in [Formula: see text] to limit the possibilities for [Formula: see text] and [Formula: see text]. We show also that if [Formula: see text] then it may be modified by a 2-knot satellite construction, while if [Formula: see text] and [Formula: see text] is abelian then [Formula: see text] or [Formula: see text]. Finally we use TOP surgery to propose a characterization of the simplest embeddings of [Formula: see text].
1974 ◽
Vol 32
◽
pp. 254-255
1983 ◽
Vol 41
◽
pp. 270-271
1973 ◽
Vol 31
◽
pp. 144-145
1973 ◽
Vol 31
◽
pp. 132-133
◽
1983 ◽
Vol 41
◽
pp. 194-195
Keyword(s):
1983 ◽
Vol 41
◽
pp. 160-161
1983 ◽
Vol 41
◽
pp. 72-73
Keyword(s):
1973 ◽
Vol 31
◽
pp. 420-421