Knot invariants coming from pre-image indices
DOI:
https://doi.org/10.12775/TMNA.2019.121Słowa kluczowe
Knot, additivity, homomorphism indexAbstrakt
Some sort of homomorphism indices of relative maps at pre-image are obtained. By using these indices, we define new invariants for knots, and prove their additivity.Bibliografia
C. Bowszyc, Fixed point theorem for the pairs of spaces, Bull. Acad. Polon. Sci. Ser. Sci. Math. Astr. Phys. 16 (1968), 845–850.
R.B S. Brooks, Nielsen root theory, Handbook of Topological Fixed Point Theory, (R.F. Brown at al., eds), Springer, Berlin, 2005, pp. 375–432.
R F. Brown, The Lefschetz Fixed Point Theorem, Scott, Foresman and Co., Glenview, Ill., 1971.
Y. Gu, X. Zhao, Common value pairs and their estimations, Bull. Belg. Math. Soc. Simon Stevin 24 (2017), no. 4, 725–739.
H. Matsuda, On the additivity of the clasp number of knots, Osaka J. Math. 40 (2003), 801–833.
C.K. McCord, The three faces of Nielsen: coincidences, intersections and preimages, Topology Appl. 103 (2000), no. 2, 155–177.
T. Shibuya, Some relations among various numerical invariants for links, Osaka J. Math. 11 (1974), 313–322.
U. Pinkall, Regular homotopy classes of immersed surfaces, Topology 24 (1985), no. 4, 421–434.
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