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

这个美国-波兰合作研究奖是为杜兰大学的Slawomir Kwasik博士和格但斯克大学的Witold Rosicki教授之间的“代数和几何拓扑中的乌拉姆问题及相关问题”项目颁发的。研究人员提出了围绕乌拉姆问题、h-相等连续波配合物的同邻相等问题和关于流形棘问题的各种问题。他们还将研究一个与代数k理论相关的更具计算性的问题。他们将运用低维和高维拓扑方法，结合外科理论和规范理论的技术。他们还将使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顶尖专家聚集在一起的项目目标，在平等、互惠和互利的基础上，在双方共同感兴趣和能力强的领域结合互补的努力和能力

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.***