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General Topology II - Compactness, Homologies of General Spaces (Paperback, Softcover reprint of the original 1st ed. 1996)
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General Topology II - Compactness, Homologies of General Spaces (Paperback, Softcover reprint of the original 1st ed. 1996)
Series: Encyclopaedia of Mathematical Sciences, 50
Expected to ship within 10 - 15 working days
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Compactness is related to a number of fundamental concepts of
mathemat ics. Particularly important are compact Hausdorff spaces
or compacta. Com pactness appeared in mathematics for the first
time as one of the main topo logical properties of an interval, a
square, a sphere and any closed, bounded subset of a finite
dimensional Euclidean space. Once it was realized that pre cisely
this property was responsible for a series of fundamental facts
related to those sets such as boundedness and uniform continuity of
continuous func tions defined on them, compactness was given an
abstract definition in the language of general topology reaching
far beyond the class of metric spaces. This immensely extended the
realm of application of this concept (including in particular,
function spaces of quite general nature). The fact, that general
topology provided an adequate language for a description of the
concept of compactness and secured a natural medium for its
harmonious development is a major credit to this area of
mathematics. The final formulation of a general definition of
compactness and the creation of the foundations of the theory of
compact topological spaces are due to P.S. Aleksandrov and Urysohn
(see Aleksandrov and Urysohn (1971))."
General
| Imprint: |
Springer-Verlag
|
| Country of origin: |
Germany |
| Series: |
Encyclopaedia of Mathematical Sciences, 50 |
| Release date: |
December 2011 |
| First published: |
1996 |
| Editors: |
A.V. Arhangel'skii
|
| Dimensions: |
235 x 155 x 14mm (L x W x T) |
| Format: |
Paperback
|
| Pages: |
256 |
| Edition: |
Softcover reprint of the original 1st ed. 1996 |
| ISBN-13: |
978-3-642-77032-6 |
| Categories: |
Books >
Science & Mathematics >
Mathematics >
Topology >
General
Promotions
|
| LSN: |
3-642-77032-0 |
| Barcode: |
9783642770326 |
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