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Higher-order Nielsen numbers.

Saveliev, Peter (2005)

Fixed Point Theory and Applications [electronic only]

Holonomy groups of flat manifolds with the $R_{\infty}$ property

Rafał Lutowski, Andrzej Szczepański (2013)

Fundamenta Mathematicae

Let M be a flat manifold. We say that M has the $R_{\infty}$ property if the Reidemeister number R(f) is infinite for every homeomorphism f: M → M. We investigate relations between the holonomy representation ρ of M and the $R_{\infty}$ property. When the holonomy group of M is solvable we show that if ρ has a unique ℝ-irreducible subrepresentation of odd degree then M has the $R_{\infty}$ property. This result is related to Conjecture 4.8 in [K. Dekimpe et al., Topol. Methods Nonlinear Anal. 34 (2009)].

We show that many generalisations of Borsuk-Ulam's theorem follow from an elementary result of homological algebra.

Homotopical dynamics.

Marzantowicz, Wacław (2003)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

Displaying 1 – 6 of 6

Higher-order Nielsen numbers.

Holonomy groups of flat manifolds with the $R_{\infty}$ property

Homological Identities for Closed Orbits.

Homological methods in fixed-point theory of multi-valued maps [Book]

Homologie des groupes et généralisations du théorème de Borsuk-Ulam

Homotopical dynamics.

Currently displaying 1 – 6 of 6

Displaying 1 – 6 of 6

Higher-order Nielsen numbers.

Holonomy groups of flat manifolds with the R ∞ property

Homological Identities for Closed Orbits.

Homological methods in fixed-point theory of multi-valued maps [Book]

Homologie des groupes et généralisations du théorème de Borsuk-Ulam

Homotopical dynamics.

Currently displaying 1 – 6 of 6

Holonomy groups of flat manifolds with the $R_{\infty}$ property