Continua: With the Houston Problem Book by Howard Cook, William T. Ingram, Krystyna Kuperberg, Andrew

By Howard Cook, William T. Ingram, Krystyna Kuperberg, Andrew Lelek, Piotr Minc

This quantity comprises the lawsuits of the designated consultation on smooth equipment in Continuum conception provided on the one centesimal Annual Joint arithmetic conferences held in Cincinnati, Ohio. It additionally positive factors the Houston challenge ebook which incorporates a lately up-to-date set of two hundred difficulties collected over numerous years on the college of Houston.;These court cases and difficulties are aimed toward natural and utilized mathematicians, topologists, geometers, physicists and graduate-level scholars in those disciplines.

Show description

Read or Download Continua: With the Houston Problem Book PDF

Best geometry books

Gems of Geometry

In accordance with a sequence of lectures for grownup scholars, this vigorous and exciting e-book proves that, faraway from being a dusty, uninteresting topic, geometry is in reality jam-packed with attractiveness and fascination. The author's infectious enthusiasm is placed to exploit in explaining the various key techniques within the box, beginning with the Golden quantity and taking the reader on a geometric trip through Shapes and Solids, in the course of the Fourth measurement, winding up with Einstein's Theories of Relativity.

Pi: A Source Book

Pi is likely one of the few ideas in arithmetic whose point out conjures up a reaction of popularity and curiosity in these no longer involved professionally with the topic. but, regardless of this, no resource booklet on Pi has ever been released. Mathematicians and historians of arithmetic will locate this ebook vital.

Low Dimensional Topology

Derived from a different consultation on Low Dimensional Topology geared up and carried out through Dr Lomonaco on the American Mathematical Society assembly held in San Francisco, California, January 7-11, 1981

Additional resources for Continua: With the Houston Problem Book

Example text

However, we have tried to represent as broad a perspective of research as possible. Particularly, application areas include continuum theory, dimension the­ ory, homotopy theory, shape theory, homogeneity, fixed points, infinite-dimensional topology, topological dynamics, homeomorphism groups and group actions. On the other hand, we would like to emphasize that because of the significant body of re­ lated work (especially over the past decade, since Bestvina^s fundamental thesis) we have missed with probability one some of the interesting results.

B) compacta obtained in (A) are mutually homeomorphic. The main technique of the proof of (B) in [Be] is a powerful generalization of the partition argument originally due to Anderson [Ani] and Bing [Bi2]. Instead of working directly with partitions of Menger manifolds, Bestvina consistently consid­ ered partitions of their manifold neighborhoods (see the construction in §2). This approach made it possible to achieve the necessary connectivity degrees of mem­ bers of partitions as well as correct intersection properties of the partitions.

Math. 6 (1980), 1-13. 2. H. Bell, On fixed point properties of plane continua^ Trans. Amer. Math. Soc. 128 (1967), 539-548. 3. R. H. Bing, The elusive fixed point property^ Amer. Math. Monthly 76 (1969), 119-132. 4. K. Borsuk, Einige Satz über stetige Streckenbilder^ Fund. Math. 18 (1932), 198-213. 5. _____ , A theorem on fixed points, Bull Acad. Polon. Sei. Cl. Ill 2 (1954), 17-20. 6. H. Cook, Tree-likeness of dendroids and X-dendroids, Fund. Math. 68 (1970), 119-22. 7. L. Fearnley, Characterization of the continuous images of the pseudo-arc, Trans.

Download PDF sample

Rated 4.38 of 5 – based on 29 votes