A theory of generalized filters

Download
Author
Lynn, Freddie Leroy, Jr.
Date
1970-06Advisor
Weir, Maurice Dean
Metadata
Show full item recordAbstract
This manuscript is a collection of many of the known results in the theory of generalized filters (ß-filters) as well as an extension of some of the work in this area. The relation of ß-filters to compactifications and realcompactifications is given special attention. Special emphasis is also given to the concept of tracing.
After the necessary preliminaries are disposed of, Section I motivates the study of ß-filters by discussing the collection of zero-sets and then the Wallman compactification. The concept of realcompactification is also mentioned.
Section II introduces the concept of ß-filters and exhibits many of the elementary facts about
these generalized filters. The beginning of Section III deals with the convergence of ß-filters. The Frink or Wallman-type compactification of Tychonoff space is presented in detail. The generalization
of this method in constructing realcompactifications in Tychonoff spaces is also discussed. The section closes with the presentation of some tracing results. Finally , Section IV investigates the concept of ß-continuity.
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.Collections
Related items
Showing items related by title, author, creator and subject.
-
Passive target tracking using nonlinear estimation theory.
Da Cunha, Marcilio Boavista (Naval Postgraduate School, 1976);The problem of tracking submarine targets with passive sonobuoys is mathematically modelled. A comprehensive study is made of all the information available in the acoustic signals picked up by the sonobuoys and of the ... -
A study of the flow of bulk material in bins
Reese, John Warren (Purdue University, 1954);The major problem in handling bulk material in bins is flow stoppage, which is the hanging-up of material within the bin. Although^ there are generalizations as to why materials cease to flow, arch, or funnel, clear ... -
Computation of Bounds for Digital Filter Quantization Errors
Yakowitz, Sidney; Parker, Sydney R. (IEEE, 1973-07);Spectral theory of operators is used to determine a general procedure for determining bounds on the difference between the states and outputs of a finite precision fixed-point digital filter and its infinite precision ideal ...