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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/727 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/727 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/727 archive 351 disk0/00/00/07/09 2016-01-15 01:44:05 2021-08-27 17:08:35 2016-01-15 01:44:05 monograph show 2 Atkin R. Casti J.L. 974 pub iis_met prog_sds Using elementary concepts from algebraic topology, a program is outlined for the application of topological notions to the problem of characterizing the connective structure of large-scale systems. The basic approach is to generate appropriate mappings which associate a given system with a simplicial complex. Topological tools are then used in a non-standard manner to investigate the connectivity pattern of the system. Auxiliary notions such as eccentricity of a simplex, patterns on a complex, and the homological structure of a complex are also shown to have system- theoretic relevance. The general ideas of the paper are illustrated on a number of simple examples, including the standard linear system set-up. The paper concludes with a discussion of several research topics to be carried out in an attempt to connect the algebraic-topological ideas with other branches of mathematical system theory. 1977-03 published RR-77-006 RR-77-006 10 1179 public research_report IIASA, Laxenburg, Austria 36 TRUE FALSE info:eu-repo/semantics/book