The topology of shapes made with points/ (Record no. 14835)

MARC details
000 -LEADER
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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