- Tytuł:
- A Lefschetz-type coincidence theorem
- Autorzy:
- Saveliev, Peter
- Powiązania:
- https://bibliotekanauki.pl/articles/1205188.pdf
- Data publikacji:
- 1999
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
Lefschetz coincidence theory
Lefschetz number
coincidence index
fixed point
multivalued map - Opis:
- A Lefschetz-type coincidence theorem for two maps f,g: X → Y from an arbitrary topological space to a manifold is given: $I_{fg} = λ _{fg}$, that is, the coincidence index is equal to the Lefschetz number. It follows that if $λ_{fg} ≠ 0$ then there is an x ∈ X such that f(x) = g(x). In particular, the theorem contains well-known coincidence results for (i) X,Y manifolds, f boundary-preserving, and (ii) Y Euclidean, f with acyclic fibres. It also implies certain fixed point results for multivalued maps with "point-like" (acyclic) and "sphere-like" values.
- Źródło:
-
Fundamenta Mathematicae; 1999, 162, 1; 65-89
0016-2736 - Pojawia się w:
- Fundamenta Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł