Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: 37E05

Sortuj według:

Ogranicz wyniki do:

A topological invariant for pairs of maps

100%

Polezzi M., Aniz C.

Open Mathematics

2006

tom 4

nr 2

294-303

In this paper we develop the notion of contact orders for pairs of continuous self-maps (f, g) from ℝn, showing that the set Con(f, g) of all possible contact orders between f and g is a topological invariant (we remark that Con(f, id) = Per(f)). As an interesting application of this concept, we give sufficient conditions for the graphs of two continuous self-maps from ℝ intersect each other. We also determine the ordering of the sets Con(f, 0) and Con(f, h), for h ∈ Hom(ℝ) such that f ∘ h = h ∘ f. For this latter set we obtain a generalization of Sharkovsky’s theorem.

Ograniczanie wyników

1 Open Mathematics

1 Aniz C.

1 Polezzi M.

1 2006

Wyniki wyszukiwania

A topological invariant for pairs of maps