Author: Melvin HenriksenPublisher:
ISBN:
Category : Compact spaces
Languages : en
Pages : 44
Book Description
Wallman Covers of Compact Spaces
Author: Melvin HenriksenPublisher:
ISBN:
Category : Compact spaces
Languages : en
Pages : 44
Book Description
Extensions and Absolutes of Hausdorff Spaces
Author: Jack R. PorterPublisher: Springer Science & Business Media
ISBN: 1461237122
Category : Mathematics
Languages : en
Pages : 869
Book Description
An extension of a topological space X is a space that contains X as a dense subspace. The construction of extensions of various sorts - compactifications, realcompactifications, H-elosed extension- has long been a major area of study in general topology. A ubiquitous method of constructing an extension of a space is to let the "new points" of the extension be ultrafilters on certain lattices associated with the space. Examples of such lattices are the lattice of open sets, the lattice of zero-sets, and the lattice of elopen sets. A less well-known construction in general topology is the "absolute" of a space. Associated with each Hausdorff space X is an extremally disconnected zero-dimensional Hausdorff space EX, called the Iliama absolute of X, and a perfect, irreducible, a-continuous surjection from EX onto X. A detailed discussion of the importance of the absolute in the study of topology and its applications appears at the beginning of Chapter 6. What concerns us here is that in most constructions of the absolute, the points of EX are certain ultrafilters on lattices associated with X. Thus extensions and absolutes, although very different, are constructed using similar tools.
General Topology and Applications
Author: Susan J. AndimaPublisher: CRC Press
ISBN: 1000104664
Category : Mathematics
Languages : en
Pages : 437
Book Description
This book is based on the proceedings of the Fifth Northeast Conference on General Topology and Applications, held at The College of Staten Island – The City University of New York. It provides insight into the relationship between general topology and other areas of mathematics.
General Topology and Applications
Author: ShorttPublisher: CRC Press
ISBN: 9780824783495
Category : Mathematics
Languages : en
Pages : 316
Book Description
Proceedings of the Northeast Conference on the subject at Wesleyan University, Connecticut, in June 1988. The two dozen papers, by mathematicians from the US, Canada, and the Netherlands, report on recent advances in topology for research mathematicians and graduate students. They focus on the theor
Dissertationes Mathematicae
Author: Positive Operators and Semigroups on Banach Lattices
Author: C.B. HuijsmansPublisher: Springer Science & Business Media
ISBN: 940172721X
Category : Mathematics
Languages : en
Pages : 151
Book Description
During the last twenty-five years, the development of the theory of Banach lattices has stimulated new directions of research in the theory of positive operators and the theory of semigroups of positive operators. In particular, the recent investigations in the structure of the lattice ordered (Banach) algebra of the order bounded operators of a Banach lattice have led to many important results in the spectral theory of positive operators. The contributions contained in this volume were presented as lectures at a conference organized by the Caribbean Mathematics Foundation, and provide an overview of the present state of development of various areas of the theory of positive operators and their spectral properties. This book will be of interest to analysts whose work involves positive matrices and positive operators.
Canadian Journal of Mathematics
Author: Dimension Theory (PMS-4), Volume 4
Author: Witold HurewiczPublisher: Princeton University Press
ISBN: 1400875668
Category : Mathematics
Languages : en
Pages : 174
Book Description
Book 4 in the Princeton Mathematical Series. Originally published in 1941. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Containing Spaces for Planar Rational Compacta
Author: J. C. MayerPublisher:
ISBN:
Category : Compact spaces
Languages : en
Pages : 40
Book Description
Frequency-domain Methods For Nonlinear Analysis: Theory And Applications
Author: Gennady A LeonovPublisher: World Scientific
ISBN: 9814500909
Category : Science
Languages : en
Pages : 512
Book Description
This book deals with the investigation of global attractors of nonlinear dynamical systems. The exposition proceeds from the simplest attractor of a single equilibrium to more complicated ones, i.e. to finite, denumerable and continuum equilibria sets; and further, to cycles, homoclinic and heteroclinic orbits; and finally, to strange attractors consisting of irregular unstable trajectories. On the complicated equilibria sets, the methods of Lyapunov stability theory are transferred. They are combined with stability techniques specially elaborated for such sets. The results are formulated as frequency-domain criteria. The methods connected with the theorems of existence of cycles and homoclinic orbits are developed. The estimates of Hausdorff dimensions of attractors are presented.