{"title":"On generalization of homotopy axiom","authors":"Umed Karimov","doi":"10.15673/pigc.v16i3.2536","DOIUrl":null,"url":null,"abstract":"In [S. Kermit, Proc. Amer. Math. Soc., 1972, 31(1):271-275] it was proven that if G is compact topological group or field then in the homotopy axiom for Alexander-Spanier-Kolmogoroff cohomology the parameter segment [0;1] can be replaced by any compact connected space T. The purpose of the paper is to show that the parameter space T can not be replaced in general by locally compact connected space.","PeriodicalId":36547,"journal":{"name":"Proceedings of the International Geometry Center","volume":"69 4","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the International Geometry Center","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.15673/pigc.v16i3.2536","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
Abstract
In [S. Kermit, Proc. Amer. Math. Soc., 1972, 31(1):271-275] it was proven that if G is compact topological group or field then in the homotopy axiom for Alexander-Spanier-Kolmogoroff cohomology the parameter segment [0;1] can be replaced by any compact connected space T. The purpose of the paper is to show that the parameter space T can not be replaced in general by locally compact connected space.
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