{"_id":"521","volume":215,"month":"01","date_updated":"2021-01-12T08:01:21Z","author":[{"first_name":"Kyle","full_name":"Austin, Kyle","last_name":"Austin"},{"id":"2E36B656-F248-11E8-B48F-1D18A9856A87","last_name":"Virk","full_name":"Virk, Ziga","first_name":"Ziga"}],"doi":"10.1016/j.topol.2016.10.005","title":"Higson compactification and dimension raising","type":"journal_article","citation":{"chicago":"Austin, Kyle, and Ziga Virk. “Higson Compactification and Dimension Raising.” <i>Topology and Its Applications</i>. Elsevier, 2017. <a href=\"https://doi.org/10.1016/j.topol.2016.10.005\">https://doi.org/10.1016/j.topol.2016.10.005</a>.","apa":"Austin, K., &#38; Virk, Z. (2017). Higson compactification and dimension raising. <i>Topology and Its Applications</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.topol.2016.10.005\">https://doi.org/10.1016/j.topol.2016.10.005</a>","ama":"Austin K, Virk Z. Higson compactification and dimension raising. <i>Topology and its Applications</i>. 2017;215:45-57. doi:<a href=\"https://doi.org/10.1016/j.topol.2016.10.005\">10.1016/j.topol.2016.10.005</a>","ieee":"K. Austin and Z. Virk, “Higson compactification and dimension raising,” <i>Topology and its Applications</i>, vol. 215. Elsevier, pp. 45–57, 2017.","short":"K. Austin, Z. Virk, Topology and Its Applications 215 (2017) 45–57.","ista":"Austin K, Virk Z. 2017. Higson compactification and dimension raising. Topology and its Applications. 215, 45–57.","mla":"Austin, Kyle, and Ziga Virk. “Higson Compactification and Dimension Raising.” <i>Topology and Its Applications</i>, vol. 215, Elsevier, 2017, pp. 45–57, doi:<a href=\"https://doi.org/10.1016/j.topol.2016.10.005\">10.1016/j.topol.2016.10.005</a>."},"day":"01","date_created":"2018-12-11T11:46:56Z","publication_status":"published","publication":"Topology and its Applications","date_published":"2017-01-01T00:00:00Z","status":"public","department":[{"_id":"HeEd"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa_version":"Submitted Version","page":"45 - 57","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1608.03954v1"}],"publication_identifier":{"issn":["01668641"]},"abstract":[{"text":"Let X and Y be proper metric spaces. We show that a coarsely n-to-1 map f:X→Y induces an n-to-1 map of Higson coronas. This viewpoint turns out to be successful in showing that the classical dimension raising theorems hold in large scale; that is, if f:X→Y is a coarsely n-to-1 map between proper metric spaces X and Y then asdim(Y)≤asdim(X)+n−1. Furthermore we introduce coarsely open coarsely n-to-1 maps, which include the natural quotient maps via a finite group action, and prove that they preserve the asymptotic dimension.","lang":"eng"}],"oa":1,"year":"2017","publist_id":"7299","language":[{"iso":"eng"}],"quality_controlled":"1","publisher":"Elsevier","intvolume":"       215"}