The Topological Transversality Theorem for Multivalued Maps with Continuous Selections
نویسندگان
چکیده
منابع مشابه
Topological Entropy for Nonuniformly Continuous Maps
The literature contains several extensions of the standard definitions of topological entropy for a continuous self-map f : X→X from the case when X is a compact metric space to the case when X is allowed to be noncompact. These extensions all require the space X to be totally bounded, or equivalently to have a compact completion, and are invariants of uniform conjugacy. When themap f is unifor...
متن کاملFixed Points of Condensing Multivalued Maps in Topological Vector Spaces
The Schauder conjecture that every continuous single-valued map from a compact convex subset of a topological vector space into itself has a fixed point was stated in [12, Problem 54]. In a recent year, Cauty [2] gave a positive answer to this question by a very complicated approximation factorization. Very recently, Dobrowolski [3] established Cauty’s proof in a more accessible form by using t...
متن کاملTopological number for locally convex topological spaces with continuous semi-norms
In this paper we introduce the concept of topological number for locally convex topological spaces and prove some of its properties. It gives some criterions to study locally convex topological spaces in a discrete approach.
متن کاملMisiurewicz points for polynomial maps and transversality
The behavior under iteration of the critical points of a polynomial map plays an essential role in understanding its dynamics. We study the special case where the forward orbits of the critical points are finite. Thurston’s theorem tells us that fixing a particular critical point portrait and degree leads to only finitely many possible polynomials (up to equivalence) and that, in many cases, th...
متن کاملTransversality and Lefschetz Numbers for Foliation Maps
Let F be a smooth foliation on a closed Riemannian manifold M , and let Λ be a transverse invariant measure of F . Suppose that Λ is absolutely continuous with respect to the Lebesgue measure on smooth transversals. Then a topological definition of the Λ-Lefschetz number of any leaf preserving diffeomorphism (M,F) → (M,F) is given. For this purpose, standard results about smooth approximation a...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematics
سال: 2019
ISSN: 2227-7390
DOI: 10.3390/math7111113