Kategoria BISAC: Mathematics >> Topology - General

This unique monograph building bridges among a number of different areas of mathematics such as algebra, topology, and category theory. The author uses various tools to develop new applications of classical concepts. Detailed proofs are given for all major theorems, about halfof which are completely new.

"Sheaves of Algebras over Boolean Spaces" will take readers on a journey through sheaf theory, an important part of universal algebra. This excellent reference text is suitable for graduate students, researchers, and those who wish to learn about sheaves of algebras."

Graphs on Surfaces: Dualities, Polynomials, and Knots offers an accessible and comprehensive treatment of recent developments on generalized duals of graphs on surfaces, and their applications. The authors illustrate the interdependency between duality, medial graphs and knots; how this interdependency is reflected in algebraic invariants of graphs and knots; and how it can be exploited to solve problems in graph and knot theory. Taking a constructive approach, the authors emphasize how generalized duals and related ideas arise by localizing classical constructions, such as...

This volume contains research papers and survey articles written by Beno Eckmann from 1941 to 1986. The aim of the compilation is to provide a general view of the breadth of Eckmann's mathematical work. His influence was particularly strong in the development of many subfields of topology and algebra, where he repeatedly pointed out close, and often surprising, connections between them and other areas. The surveys are exemplary in terms of how they make difficult mathematical ideas easily comprehensible and accessible even to non-specialists. The topics treated here can be classified into...

Oncofertility has emerged as a way to address potential lost or impaired fertility in cancer patients and survivors, with active biomedical research that is developing new ways to help these individuals preserve their ability to have biological children. In order to move beyond oncofertility as a science and medical technology and begin to address the ethical, legal, and social ramifications of this emerging field, we must give voice to scholars from the humanities and social sciences to engage in a multidisciplinary discussion. This book brings together a pool of experts from a variety of...

Dieses Buch bietet eine erste Einfuhrung in die mathematische Theorie der dynamischen Systeme, die fur Studierende des letzten Studienjahres des Bachelor Studiums und fur das Master Studium geeignet ist. Aufbauend auf den Grundbegriffen der Topologischen Dynamik und der Ergodentheorie in den ersten beiden Kapiteln behandelt das dritte Kapitel den fur die Ergodentheorie zentralen Begriff der Entropie, der seinen Ursprung in der statistischen Physik und der Informationstheorie hat, und der die Komplexitat eines matheoretischen dynamischen Systems quantifiziert. Das vierte Kapitel ist...