{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,1,12]],"date-time":"2024-01-12T14:01:50Z","timestamp":1705068110672},"reference-count":0,"publisher":"World Scientific Pub Co Pte Lt","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[1999,2]]},"abstract":" We prove the analog of de Rham's theorem for \u2113\u221e<\/jats:sub>-cohomology of the universal cover of a finite simplicial complex. A sufficient criterion is given for linearity of isoperimetric functions for filling cycles of any positive dimension over \u211d. This implies the linear higher dimensional isoperimetric inequalities for the fundamental groups of finite negatively curved complexes and of closed negatively curved manifolds. Also, these groups are \u211d-metabolic. <\/jats:p>","DOI":"10.1142\/s0218196799000059","type":"journal-article","created":{"date-parts":[[2002,7,27]],"date-time":"2002-07-27T07:05:54Z","timestamp":1027753554000},"page":"51-77","source":"Crossref","is-referenced-by-count":2,"title":["\u2113\u221e<\/sub>-COHOMOLOGY AND METABOLICITY OF NEGATIVELY CURVED COMPLEXES"],"prefix":"10.1142","volume":"09","author":[{"given":"IGOR","family":"MINEYEV","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of Utah, Salt Lake City, UT\u00a084112, USA"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196799000059","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T17:54:38Z","timestamp":1565114078000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196799000059"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1999,2]]},"references-count":0,"journal-issue":{"issue":"01","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[1999,2]]}},"alternative-id":["10.1142\/S0218196799000059"],"URL":"https:\/\/doi.org\/10.1142\/s0218196799000059","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[1999,2]]}}}