U.S.-Poland: Ulam's Problem and Related Questions in Algebraic and Geometric Topology

INT-9808925 Kwasik美国-波兰合作研究奖是授予杜兰大学Slawomir Kwasik博士和格但斯克大学Witold Rosicki教授关于“代数学和几何拓扑学中的Ulam问题及相关问题”的项目。 研究者们提出了围绕Ulam问题、h-相等CW复形的同伦相等性和流形刺问题来研究各种问题。 他们还将研究一个与代数K理论有关的更具计算性质的问题。 他们将使用低维和高维拓扑的方法，以及外科手术理论和规范理论的技术。 他们还将采用与代数数论相关的计算技术。这项数学研究实现了将美国和波兰的领先专家聚集在一起的计划目标。在平等、互惠和互利的基础上，在具有强烈共同利益和能力的领域，将联合收割机互补的努力和能力结合起来。*

INT-9808925KwasikThis U.S.-Poland Cooperative Research award is for a project on "Ulam's Problem and Related Questions in Algebraic and Geometric Topology" between Dr. Slawomir Kwasik of Tulane University and Professor Witold Rosicki of the University of Gdansk. The researchers propose to study various questions which revolve around Ulam's Problem, homotopical equality of h-equal CW complexes and the problem concerning manifold spines. They will also study a problem of a more computational nature related to algebraic K-theory. They will use methods of low-dimensional and high-dimensional topology together with techniques of surgery theory and gauge theory. They also will employ computational techniques related to algebraic number theory.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.***