Some behavior of coarse structure and coarse equivalent

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dc.contributor.author Kajan, N.
dc.contributor.author Kannan, K.
dc.date.accessioned 2022-09-08T04:44:46Z
dc.date.available 2022-09-08T04:44:46Z
dc.date.issued 2022-09-05
dc.identifier.issn 1857-8365
dc.identifier.uri http://drr.vau.ac.lk/handle/123456789/517
dc.description.abstract I am going to introduce some properties of coarse structure. Coarse space is defined for large scale in metric space similar to the tools provided by topology for analyzing behavior at small distance, as topological property can be defined entirely in terms of open sets. Analogously a large scale property can be defined entirely in terms of controlled sets. The properties we required were that the maps were coarse (proper and bornologous), but why do these maps imply that the spaces have the same large structure? Essentially this has to do with contractibility. Spaces which are the same on a large scale can be scaled so that the points are not too far away from each other, but we are not concerned with any differences on small scale that may arise. In addition I am going to explain some basic definition related with the title of my research work besides ,I want to investigate several results in coarse map, coarse equivalent and coarse embedding. Further I have to proof some results of product of coarse structure. Coarse map need not be a continuous map. Coarse space has some application in various parts in mathematics. More over coarse structure is a large scale property so we can invest some results related with coarse space and topology. Topology is the small scale structure, but topological coarse structure is the large scale structure. We investigated some results about coarse maps, coarse equivalent and coarse embedding. en_US
dc.language.iso en en_US
dc.publisher Union of researchers of Macedonia en_US
dc.subject Coarse space en_US
dc.subject Coarse map en_US
dc.subject Coarse equivalent en_US
dc.subject Coarse embedding en_US
dc.title Some behavior of coarse structure and coarse equivalent en_US
dc.type Article en_US
dc.identifier.doi https://doi.org/10.37418/amsj.9.10.2 en_US
dc.identifier.journal Advances in Mathematics: Scientific Journal en_US


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