Some notes on induced functions and group actions on hyperspaces
نویسندگان
چکیده
Let X be a topological space and CL(X) the family of all nonempty closed subsets X. In this paper we discuss problem when continuous map between spaces induces function their respective hyperspaces. As main result characterize continuity induced in case Fell Attouch-Wets Additionally explore whether action group G on CL(X). particular give sufficient conditions topology to guarantee that is continuous, provided equipped with Hausdorff or metric topology.
منابع مشابه
Notes on gauging noneffective group actions
In this paper we study sigma models in which a noneffective group action has been gauged. Such gauged sigma models turn out to be different from gauged sigma models in which an effectively-acting group is gauged, because of nonperturbative effects on the worldsheet. We concentrate on finite noneffectively-acting groups, though we also outline how analogous phenomena also happen in nonfinite non...
متن کاملSome notes on harmonic and holomorphic functions
These notes are concerned with harmonic and holomorphic functions on Euclidean spaces, where “holomorphic” refers to ordinary complex analysis in dimension 2 and generalizations using quaternions and Clifford algebras in higher dimensions. Among the principal themes are weak solutions, the mean-value property, and subharmonicity.
متن کاملInduced Dynamics on the Hyperspaces
In this paper, we study the dynamics induced by finite commutative relation. We prove that the dynamics generated by such a non-trivial collection cannot be transitive/super-transitive and hence cannot exhibit higher degrees of mixing. As a consequence we establish that the dynamics induced by such a collection on the hyperspace endowedwith any admissible hit andmiss topology cannot be transiti...
متن کاملsome notes on the topological centers of module actions
in this paper, we extend some propositions of banachalgebras into module actions and establish the relationships betweentopological centers of module actions. we introduce some newconcepts as -property and -property for banach modules and obtain some conclusions inthe topological center of module actions and arens regularity of banachalgebras.
متن کاملSome Notes on CE(S) Production Functions
We reconsider the CES production functions, focusing on their additive separability properties and the constraints these impose on dual elasticites of gross substitution and complementarity. In particular, we offer some alternative characterizations of the (standard) homogeneous cases that seem to have gone unnoticed, as far as we know. We also start exploring the cases of the (additively separ...
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: Topology and its Applications
سال: 2022
ISSN: ['1879-3207', '0166-8641']
DOI: https://doi.org/10.1016/j.topol.2021.107954