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02962nam a22004095i 4500 |
003 - CONTROL NUMBER IDENTIFIER |
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OSt |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20140310151452.0 |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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111020s2012 sz | s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9783034801546 |
|
978-3-0348-0154-6 |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA611-614.97 |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
514 |
Edition number |
23 |
264 #1 - |
-- |
Basel : |
-- |
Springer Basel, |
-- |
2012. |
912 ## - |
-- |
ZDB-2-SMA |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Picado, Jorge. |
Relator term |
author. |
245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
Title |
Frames and Locales |
Medium |
[electronic resource] : |
Remainder of title |
Topology without points / |
Statement of responsibility, etc |
by Jorge Picado, Aleš Pultr. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
XIX, 398p. |
Other physical details |
online resource. |
440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE |
Title |
Frontiers in Mathematics, |
International Standard Serial Number |
1660-8046 |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
Preface -- Introduction -- I. Spaces and lattices of open sets -- II. Frames and locales. Spectra -- III. Sublocales -- IV. Structure of localic morphisms. The categories Loc and Frm -- V. Separation axioms -- VI. More on sublocales.-VII. Compactness and local compactness -- VIII. (Symmetric) uniformity and nearness -- IX. Paracompactness -- X. More about completion -- XI. Metric frames -- XII. Entourages, non-symmetric uniformity -- XIII. Connectedness -- XIV. The frame of reals and real functions -- XV. Localic groups -- Appendix I: Posets -- Appendix II: Categories -- Bibliography -- Index of Notation -- Index. |
520 ## - SUMMARY, ETC. |
Summary, etc |
Until the mid-twentieth century, topological studies were focused on the theory of suitable structures on sets of points. The concept of open set exploited since the 1920s offered an expression of the geometric intuition of a "realistic" place (spot, grain) of non-trivial extent. Imitating the behaviour of open sets and their relations led to a new approach to topology flourishing since the end of the 1950s. It has proved to be beneficial in many respects. Neglecting points, only little information was lost, while deeper insights have been gained; moreover, many results previously dependent on choice principles became constructive. The result is often a smoother, rather than a more entangled, theory. No monograph of this nature has appeared since Johnstone's celebrated Stone Spaces in 1983. The present book is intended as a bridge from that time to the present. Most of the material appears here in book form for the first time or is presented from new points of view. Two appendices provide an introduction to some requisite concepts from order and category theories. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Topology. |
|
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Topology. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Pultr, Aleš. |
Relator term |
author. |
710 2# - ADDED ENTRY--CORPORATE NAME |
Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY |
Title |
Springer eBooks |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
Display text |
Printed edition: |
International Standard Book Number |
9783034801539 |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-3-0348-0154-6 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
|
Item type |
E-Book |