Index
Borromean ring, 10
complex plane, 47
component of a link, 9
connected surface, 22
continuous line element field, 56
continuous vector field, 45
continuous vector field on the sphere, 63
deformation, 1
Descartes-Euler Theorem, 65
even vector field, 47
figure eigh t knot, 8
fixed point , 50
gluing along an involution, 74
homeomorphic figures, 3 3
Hopf link, 9
implemented distance, 87
index of a curve, 48
index of a singular point, 45
involution, 72
isotopic objects (figures), 33
Klein bottle, 16, 84
knot, 7
knot invariant, 29
left trefoil, 7
line element field, 56
link, 9
Main Theorem of Algebra, 51
Mobius band, 16
nonorientable span, 16
odd vector field, 47
orientable span, 16
orientation, 20
oriented surface, 20
period (of a periodic map), 72
periodic map, 72
point at infinity (of the projective plane), 83
point of the projective plane, 83
projective line, 83
projective plane, 82
proper coloring, 29
pullback (of a vector field), 76
right trefoil , 7
Seifert algorithm, 17
Seifert circle, 17
Seifert surface, 17
singular point (of a vector field), 45
span of a knot, 15
spanning film of a knot, 15
spanning surface of a knot, 15
sphere with g handles , 66
sphere with three handles, 66
torus, 36
trajectory of a line element field, 56
trajectory of a vector field, 46
trefoil knot, 7
twist, 36
vector field, 45
vector field on the sphere, 63
Whitehead link, 9
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