U.S.-Poland Cooperative Research on Problems in Set Theoretic Analysis

INT-9600548 Ciesielski这个美国-波兰合作研究奖是为了研究“集合论分析中的问题”。主要研究人员是西弗吉尼亚大学的Krzysztof Ciesielski博士和Jerzy Wojciechowski博士，以及波兰Bydgozcz教育大学的Tomasz Natkaniec博士和另外两名同事。研究人员在新创建的集合论分析领域工作。这是微积分的理论基础实分析的一个分支，其特点是广泛使用现代集合论的技巧。该项目的目标是进一步了解在整个数学中作为实函数概念的基本概念的基本性质。集合论的新发展将为实现这一目标提供必要的工具。除高级人员外，该项目还涉及五名研究生(其中两名是女性)。在他们职业生涯的早期阶段，他们参与一项国际活动对他们来说将是非常重要的，并可能导致未来更广泛的国际合作。这项数学研究实现了将美国和波兰的顶尖专家聚集在一起，在平等、互惠和互利的基础上，在共同利益和能力强的领域结合互补努力和能力的计划目标。*？？

INT-9600548 Ciesielski This U.S.-Polish Cooperative Researah award is to research "Problems in Set Theoretic Analysis." The principal researchers are Dr. Krzysztof Ciesielski and Dr. Jerzy Wojciechowski of West Virginia University and Dr. Tomasz Natkaniec and two other colleagues of the Pedagogical University in Bydgoszcz, Poland. The researchers work in the newly created area of Set Theoretic Analysis. This is a branch of Real Analysis, the theoretic foundation of Calculus, that is characterized by extensive use of modern set-theoretic techniques. The objectives of the project are to further understanding of the basic properties of such a fundamental concept in the whole of mathematics as the notion of a real function. New developments in Set Theory will provide the necessary tools to make the realization of this objective possible. In addition to the senior personnel, the project involves five graduate students (two of whom are women). Their involvement in an international activity, at this early stage of their careers, will be of great importance for them and will likely lead to broader international cooperation in the future. This research in mathematics fulfills the program objectives of bringing together leading experts in the U.S. and Poland to combine complementary efforts and capabilities in areas of strong mutual interest and competence on the basis of equality, reciprocity, and mutuality of benefit. *** ??