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 twenties 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
fifties.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
onchoice 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."
General
Imprint: |
Birkhauser Verlag AG
|
Country of origin: |
Switzerland |
Series: |
Frontiers in Mathematics |
Release date: |
October 2011 |
First published: |
2012 |
Authors: |
Jorge Picado
• Ales Pultr
|
Dimensions: |
245 x 170 x 23mm (L x W x T) |
Format: |
Paperback - Trade
|
Pages: |
398 |
Edition: |
2012 |
ISBN-13: |
978-3-03-480153-9 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Topology >
General
|
LSN: |
3-03-480153-X |
Barcode: |
9783034801539 |
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