Autor: Ferrario, Davide - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Computing Reidemeister classes
Autorzy:: Ferrario, Davide
Powiązania:: https://bibliotekanauki.pl/articles/1205298.pdf
Data publikacji:: 1998
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: Reidemeister numbers
fixed point theory
Nielsen numbers
Opis:: In order to compute the Nielsen number N(f) of a self-map f: X → X, some Reidemeister classes in the fundamental group $π_1(X)$ need to be distinguished. In this paper some algebraic results are given which allow distinguishing Reidemeister classes and hence computing the Reidemeister number of some maps. Examples of computations are presented.
Źródło:: Fundamenta Mathematicae; 1998, 158, 1; 1-18
0016-2736
Pojawia się w:: Fundamenta Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Generalized Lefschetz numbers of pushout maps defined on non-connected spaces
Autorzy:: Ferrario, Davide
Powiązania:: https://bibliotekanauki.pl/articles/1341529.pdf
Data publikacji:: 1999
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Opis:: Let A, $X_1$ and $X_2$ be topological spaces and let $i_1 : A → X_1$, $i_2: A → X_2$ be continuous maps. For all self-maps $f_A: A → A$, $f_1: X_1 → X_1$ and $f_2: X_2 → X_2$ such that $f_1i_1 = i_1f_A$ and $f_2i_2=i_2f_A$ there exists a pushout map f defined on the pushout space $X_1 ⊔_A X_2$. In [F] we proved a formula relating the generalized Lefschetz numbers of f, $f_A$, $f_1$ and $f_2$. We had to assume all the spaces involved were connected because in the original definition of the generalized Lefschetz number given by Husseini in [H] the space was assumed to be connected. So, to extend the result of [F] to the not necessarily connected case, a definition of generalized Lefschetz number for a map defined on a not necessarily connected space is given; it reduces to the original one when the space is connected and it is still a trace-like quantity. It allows us to prove the pushout formula in this more general case and therefore to get a tool for computing Nielsen and generalized Lefschetz numbers in a wide class of spaces.
Źródło:: Banach Center Publications; 1999, 49, 1; 117-135
0137-6934
Pojawia się w:: Banach Center Publications
Dostawca treści:: Biblioteka Nauki

Artykuł

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