On stronger and weaker forms of continuity in GTS - properties and dynamics

Pawlak Ryszard J.; Korczak-Kubiak Ewa; Loranty Anna

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On stronger and weaker forms of continuity in GTS - properties and dynamics

机译：关于GTS连续性的强弱形式-属性和动力学

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In the first parts of this paper we consider relationships between some aspects of continuity in generalized topological (metric) spaces. The last part is devoted to the dynamics of Darboux and quasi-continuous functions. The obtained results allow to answer the important questions connected with one dimensional dynamical systems. (C) 2015 Elsevier B.V. All rights reserved.

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《Topology and its applications》 |2016年第15期|274-290|共17页
作者
Pawlak Ryszard J.; Korczak-Kubiak Ewa; Loranty Anna;
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作者单位

Univ Lodz, Fac Math & Comp Sci, Banacha 22, PL-90238 Lodz, Poland;

Univ Lodz, Fac Math & Comp Sci, Banacha 22, PL-90238 Lodz, Poland;

Univ Lodz, Fac Math & Comp Sci, Banacha 22, PL-90238 Lodz, Poland;

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正文语种 eng
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Generalized topological (metric) space; Almost natural metric; Base of GMS; Natural generalized topology (Strongly, quasi) continuous function; Cliquish function; Darboux function; Oscillation of function; Blumberg set; Orbit (Perfectly) transitive function; Devaney's chaos;

机译：广义拓扑（度量）空间;几乎自然度量;GMS的基础;自然广义拓扑（严格;拟）连续函数;Cliquish函数;Darboux函数;函数的振动;Blumberg集;轨道（完全）传递函数;Devaney的混沌;

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On stronger and weaker forms of continuity in GTS - properties and dynamics

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