The topology of shapes made with points/ (Record no. 14835)
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fixed length control field | 01550nab a2200181 4500 |
005 - DATE & TIME | |
control field | 20231003192538.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 231003b |||||||| |||| 00| 0 eng d |
100 ## - MAIN ENTRY--PERSONAL NAME | |
Personal name | Haridis, Alexandros |
245 ## - TITLE STATEMENT | |
Title | The topology of shapes made with points/ |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
Name of publisher, distributor, etc | Sage, |
Date of publication, distribution, etc | 2020. |
300 ## - PHYSICAL DESCRIPTION | |
Pages | Vol. 47, Issue 7, 2020, ( 1279–1288 p.) |
520 ## - SUMMARY, ETC. | |
Summary, etc | In architecture, city planning, visual arts, and other design areas, shapes are often made with points, or with structural representations based on point-sets. Shapes made with points can be understood more generally as finite arrangements formed with elements (i.e. points) of the algebra of shapes Ui, for i = 0. This paper examines the kind of topology that is applicable to such shapes. From a mathematical standpoint, any “shape made with points” is equivalent to a finite space, so that topology on a shape made with points is no different than topology on a finite space: the study of topological structure naturally coincides with the study of preorder relations on the points of the shape. After establishing this fact, some connections between the topology of shapes made with points and the topology of “point-free” pictorial shapes (when i > 0) are defined and the main differences between the two are summarized. |
773 0# - HOST ITEM ENTRY | |
Host Biblionumber | 8876 |
Host Itemnumber | 17104 |
Place, publisher, and date of publication | London Pion Ltd. 2010 |
Title | Environment and planning B: planning and design (Urban Analytics and City Science) |
International Standard Serial Number | 1472-3417 |
856 ## - ELECTRONIC LOCATION AND ACCESS | |
Uniform Resource Identifier | https://doi.org/10.1177/2399808319827015 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Koha item type | E-Journal |
100 ## - MAIN ENTRY--PERSONAL NAME | |
-- | 58282 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
-- | ddc |
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