Conference publications

A relative Reidemeister theory for coincidences. I

Roubachkina E. V.

Russia, Moscow

"Математика. Компьютер. Образование". Cб. трудов XII международной конференции. Под общей редакцией Г.Ю. Ризниченко Ижевск: Научно-издательский центр "Регулярная и хаотическая динамика", 2005. Vol. 2, 466pp. Pp. 568-580.

Often, the minimum number of coincidences among all maps homotopic to (f,g) can be computer from the Nielsen number. The problem is that it may be difficult to compute N(f,g). The Reidemeister number R(f,g) is an upper bound for N(f,g) that is often a useful estimate of it. Using the liftings of (f,g) and suitably defined liftings of the restriction of (f,g) to subspace, we define the Reidemeister number corresponding to relative Nielsen number. Our Reidemeister number is upper bound for, and, if the spaces are Jiang, equal to the respective Nielsen number. We show that this number have many properties analogous to those of classical Reidemeister number.

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