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KMID : 0368019910140030811
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Journal of Soonchunhyang University
1991 Volume.14 No. 3 p.811 ~ p.813
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A Note on Tight Immersions
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Abstract
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In this note we first recall the basic definitions and relations of tight and taut immersion. Futhermore, we will show that if
f:M^n ,* E^N+n, g:M´^n´ -> E^N´+n´
are two tight immersions, then the product immersion
f xg:M°xM´EN+N,+n+o,
is also tignt, and if the immersion 0 and are tight, then
a(M)8(ivi´)=5(MxM´)
where ok(M) =infvk(￠, M), vk(p, M) is the number of critical paints of 0 of index k
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KEYWORD
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