2 edition of **Uniform spaces.** found in the catalog.

Uniform spaces.

John Rolfe Isbell

- 18 Want to read
- 10 Currently reading

Published
**1964**
by American Mathematical Society in Providence
.

Written in English

- Topology

**Edition Notes**

Bibliography: p. 163-171.

Series | Mathematical surveys, no. 12 |

The Physical Object | |
---|---|

Pagination | xi, 175 p. ; |

Number of Pages | 175 |

ID Numbers | |

Open Library | OL19419052M |

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Uniform Spaces and Measures (Fields Institute Monographs Book 30) - Kindle edition by Pachl, Jan. Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Uniform Spaces and Measures (Fields Institute Monographs Book 30).Manufacturer: Springer.

Uniform spaces play the same role for uniform continuity as topological spaces for continuity. The theory was created in by A. Weil, whose original axiomatization was soon followed by those of Bourbaki and Tukey; in this book use is made chiefly of Tukey's system, based on uniform coverings.4/5(1).

This book can serve as a reference for the theory of uniform measures. It Uniform spaces. book a self-contained development of the theory with complete proofs, starting with the necessary parts of the theory of uniform spaces. It also includes several new results, and presents diverse results from many sources organized in a logical by: This book is based on lectures I have given to undergraduate and graduate audiences at Oxford and elsewhere over the years.

My aim has been to provide an outline of both the topological theory and the uniform theory, with an emphasis on the relation between the two.

Although I hope that the. Uniform Spaces Volume 12 of Mathematical Surveys and Monographs Issue 12 of Mathematical surveys: Author: John Rolfe Isbell: Publisher: American Mathematical Society, ISBN:Length: pages: Export Citation: BiBTeX EndNote RefMan. The book nurtures a radically different viewpoint oftopology, leading to new insights into purely topological every topological space admits a quasi-uniformity, the study of quasi-uniformspaces can be seen as no less general than the study of topological spaces.

For such study,Quasi-Uniform Spaces is a necessary, self-contained Reviews: 1. Uniform Spaces and Measures addresses the need for an accessible and comprehensive exposition of the theory of uniform measures -- a need that became more critical when uniform measures recently reemerged in new results in abstract harmonic analysis.

Until now, results about uniform measures have been scattered throughout many papers written by a number of authors, some unpublished, using a. Book description This tract provides a compact introduction to the theory of proximity spaces and their generalisations, making the subject accessible to readers having a basic knowledge of topological and uniform spaces, such as can be found in standard textbooks.

apply argument assume axioms base bijection bounded called Cauchy Chapter Clearly closed subset compact complete concept condition connected consider construction containing continuous function converges countable cover defined definition denoted dense direct disjoint easy element embedding empty equivalence example Exercise exists fact filter 5/5(2).

This book details the theory of uniform spaces using pseudometrics. It features complete proofs, exercises as well as several new results.

The book also presents diverse results from many sources organized in a logical whole. 0 Preliminaries.- 1 Topological Spaces.- 2 Continuity.- 3 The Induced Topology and Its Dual.- 4 Open Functions and Closed Functions.- 5 Compact Spaces.- 6 Separation Conditions.- 7 Uniform Spaces.- 8 The Uniform Topology.- 9 Connectedness.- 10 Countability and Related Topics.- 11 Functional Separation Conditions.- 12 Completeness and Completion About half the book is devoted to relatively little-known results, much of which is published here for the first time.

The author sketches a theory of uniform transformation groups, leading to the theory of uniform spaces over a base and hence to the theory of uniform covering spaces. Outlines the category theory of Eilenberg and MacLane. This book covers fundamental concepts and constructions, function spaces, mappings into polyhedra, dimension 1.

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Equicontinuity and uniform convergence. Let X be a compact Hausdorff space, and equip C(X) with the uniform norm, thus making C(X) a Banach space, hence a metric Arzelà–Ascoli theorem states that a subset of C(X) is compact if and only if it is closed, uniformly bounded and is analogous to the Heine–Borel theorem, which states that subsets of R n are.

Among the best available reference introductions to general topology, this volume is appropriate for advanced undergraduate and beginning graduate students. Its treatment encompasses two broad areas of topology: "continuous topology," represented by sections on convergence, compactness, metrization and complete metric spaces, uniform spaces, and function spaces; and 4/5(9).

The Virginia Uniform Statewide Building Code (USBC) contains the building regulations that must be complied with when constructing a new building, structure, or an addition to an existing building.

They must also be used when maintaining or repairing an existing building or renovating or changing the use of a building or structure. Buy Topological and Uniform Spaces (Undergraduate Texts in Mathematics) on FREE SHIPPING on qualified orders Topological and Uniform Spaces (Undergraduate Texts in Mathematics): James, I.M.: : BooksCited by: That is, a uniform structure provides a means of determining when two arbitrary points, ∈ are close.

This is the intuition behind this definition. A very important special case of a uniform space are metric spaces, which we'll learn about in the next chapter. Uniform spaces are a generalisation of metric spaces, and many of the notions and.

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