tailieunhanh - Báo cáo hóa học: "Editorial NIELSEN THEORY AND RELATED TOPICS"

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Editorial NIELSEN THEORY AND RELATED TOPICS | Editorial NIELSEN THEORY AND RELATED TOPICS PHILIP R. HEATH ROBERT F. BROWN AND EDWARD C. KEPPELMANN Received 14 July 2005 Accepted 14 July 2005 Copyright 2006 Philip R. Heath et al. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. The International Conference on Nielsen Theory and Related Topics took place from June 28 through July 2 2004 at Memorial University St. John s Newfoundland Canada. This was the 13th such conference in a series that began in 1977 with a conference in Oberwolfach Germany. Nielsen theory is named after Jakob Nielsen who in the 1920s turned the focus of fixed point theory from the existence of fixed points as . in the famous Lefschetz fixed point theorem to the problem of estimating the actual number of such points within the homotopy class of a given map. He did this by introducing what is now called the Nielsen number of a self map a homotopy invariant lower bound for the number of fixed points of the map. After important initial contributions by Reidemeister and Wecken there was little activity in Nielsen theory until the 1960s when a breakthrough by Boju Jiang allowed for easy calculations of the Nielsen number for maps on Lie groups and some other interesting kinds of spaces. It was these and other important examples that would guide the direction of research. As the present collection of papers illustrates the frontiers of the subject now involve an impressive variety and interplay of algebraic and geometric techniques on a wide class of spaces. Consequently there continue to be an increasing number of interesting areas for future investigations both in the areas of computation and the development of new invariants. As research in Nielsen theory progressed its concern with fixed points expanded on the one hand into related issues such as coincidences periodic points and .

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