[{"year":"2022","publication":"Topology and its Applications","date_created":"2021-12-05T23:01:44Z","publication_status":"published","article_number":"107916","acknowledgement":"Dedicated to the memory of Hans-Peter Künzi.","isi":1,"intvolume":"       309","month":"03","publisher":"Elsevier","date_published":"2022-03-15T00:00:00Z","citation":{"ama":"Dikranjan D, Giordano Bruno A, Künzi HP, Zava N, Toller D. Generalized quasi-metric semilattices. <i>Topology and its Applications</i>. 2022;309. doi:<a href=\"https://doi.org/10.1016/j.topol.2021.107916\">10.1016/j.topol.2021.107916</a>","ieee":"D. Dikranjan, A. Giordano Bruno, H. P. Künzi, N. Zava, and D. Toller, “Generalized quasi-metric semilattices,” <i>Topology and its Applications</i>, vol. 309. Elsevier, 2022.","ista":"Dikranjan D, Giordano Bruno A, Künzi HP, Zava N, Toller D. 2022. Generalized quasi-metric semilattices. Topology and its Applications. 309, 107916.","apa":"Dikranjan, D., Giordano Bruno, A., Künzi, H. P., Zava, N., &#38; Toller, D. (2022). Generalized quasi-metric semilattices. <i>Topology and Its Applications</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.topol.2021.107916\">https://doi.org/10.1016/j.topol.2021.107916</a>","mla":"Dikranjan, Dikran, et al. “Generalized Quasi-Metric Semilattices.” <i>Topology and Its Applications</i>, vol. 309, 107916, Elsevier, 2022, doi:<a href=\"https://doi.org/10.1016/j.topol.2021.107916\">10.1016/j.topol.2021.107916</a>.","chicago":"Dikranjan, Dikran, Anna Giordano Bruno, Hans Peter Künzi, Nicolò Zava, and Daniele Toller. “Generalized Quasi-Metric Semilattices.” <i>Topology and Its Applications</i>. Elsevier, 2022. <a href=\"https://doi.org/10.1016/j.topol.2021.107916\">https://doi.org/10.1016/j.topol.2021.107916</a>.","short":"D. Dikranjan, A. Giordano Bruno, H.P. Künzi, N. Zava, D. Toller, Topology and Its Applications 309 (2022)."},"oa_version":"None","status":"public","quality_controlled":"1","type":"journal_article","abstract":[{"text":"Motivated by the recent introduction of the intrinsic semilattice entropy, we study generalized quasi-metric semilattices and their categories. We investigate the relationship between these objects and generalized semivaluations, extending Nakamura and Schellekens' approach. Finally, we use this correspondence to compare the intrinsic semilattice entropy and the semigroup entropy induced in particular situations, like sets, torsion abelian groups and vector spaces.","lang":"eng"}],"language":[{"iso":"eng"}],"author":[{"first_name":"Dikran","last_name":"Dikranjan","full_name":"Dikranjan, Dikran"},{"full_name":"Giordano Bruno, Anna","last_name":"Giordano Bruno","first_name":"Anna"},{"last_name":"Künzi","first_name":"Hans Peter","full_name":"Künzi, Hans Peter"},{"id":"c8b3499c-7a77-11eb-b046-aa368cbbf2ad","full_name":"Zava, Nicolò","first_name":"Nicolò","last_name":"Zava","orcid":"0000-0001-8686-1888"},{"full_name":"Toller, Daniele","first_name":"Daniele","last_name":"Toller"}],"date_updated":"2024-10-09T21:01:16Z","scopus_import":"1","doi":"10.1016/j.topol.2021.107916","corr_author":"1","external_id":{"isi":["000791838800012"]},"article_type":"original","article_processing_charge":"No","volume":309,"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"10413","title":"Generalized quasi-metric semilattices","publication_identifier":{"issn":["0166-8641"]},"day":"15","department":[{"_id":"HeEd"}],"fulldoi":"https://doi.org/10.1016/j.topol.2021.107916"},{"year":"2017","date_created":"2018-12-11T11:46:56Z","publication":"Topology and its Applications","publication_status":"published","isi":1,"intvolume":"       215","date_published":"2017-01-01T00:00:00Z","month":"01","publisher":"Elsevier","oa_version":"Submitted Version","citation":{"short":"K. Austin, Z. Virk, Topology and Its Applications 215 (2017) 45–57.","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>.","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>.","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>","ista":"Austin K, Virk Z. 2017. Higson compactification and dimension raising. Topology and its Applications. 215, 45–57.","ieee":"K. Austin and Z. Virk, “Higson compactification and dimension raising,” <i>Topology and its Applications</i>, vol. 215. Elsevier, pp. 45–57, 2017.","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>"},"quality_controlled":"1","status":"public","abstract":[{"lang":"eng","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."}],"language":[{"iso":"eng"}],"type":"journal_article","author":[{"full_name":"Austin, Kyle","first_name":"Kyle","last_name":"Austin"},{"first_name":"Ziga","last_name":"Virk","id":"2E36B656-F248-11E8-B48F-1D18A9856A87","full_name":"Virk, Ziga"}],"date_updated":"2025-09-18T09:47:04Z","publist_id":"7299","scopus_import":"1","oa":1,"doi":"10.1016/j.topol.2016.10.005","corr_author":"1","article_processing_charge":"No","external_id":{"arxiv":["1608.03954"],"isi":["000390501400005"]},"main_file_link":[{"url":"https://arxiv.org/abs/1608.03954","open_access":"1"}],"volume":215,"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","title":"Higson compactification and dimension raising","_id":"521","page":"45 - 57","publication_identifier":{"issn":["0166-8641"]},"arxiv":1,"day":"01","fulldoi":"https://doi.org/10.1016/j.topol.2016.10.005","department":[{"_id":"HeEd"}]},{"page":"186 - 196","day":"01","publication_identifier":{"issn":["0166-8641"]},"fulldoi":"https://doi.org/10.1016/j.topol.2017.09.015","department":[{"_id":"HeEd"}],"user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","title":"A new topology on the universal path space","_id":"737","article_processing_charge":"No","external_id":{"isi":["000413889100012"]},"volume":231,"doi":"10.1016/j.topol.2017.09.015","corr_author":"1","author":[{"first_name":"Ziga","last_name":"Virk","id":"2E36B656-F248-11E8-B48F-1D18A9856A87","full_name":"Virk, Ziga"},{"full_name":"Zastrow, Andreas","last_name":"Zastrow","first_name":"Andreas"}],"date_updated":"2026-04-16T10:04:39Z","publist_id":"6930","scopus_import":"1","status":"public","quality_controlled":"1","abstract":[{"text":"We generalize Brazas’ topology on the fundamental group to the whole universal path space X˜ i.e., to the set of homotopy classes of all based paths. We develop basic properties of the new notion and provide a complete comparison of the obtained topology with the established topologies, in particular with the Lasso topology and the CO topology, i.e., the topology that is induced by the compact-open topology. It turns out that the new topology is the finest topology contained in the CO topology, for which the action of the fundamental group on the universal path space is a continuous group action.","lang":"eng"}],"language":[{"iso":"eng"}],"type":"journal_article","date_published":"2017-11-01T00:00:00Z","month":"11","publisher":"Elsevier","citation":{"ieee":"Z. Virk and A. Zastrow, “A new topology on the universal path space,” <i>Topology and its Applications</i>, vol. 231. Elsevier, pp. 186–196, 2017.","ista":"Virk Z, Zastrow A. 2017. A new topology on the universal path space. Topology and its Applications. 231, 186–196.","ama":"Virk Z, Zastrow A. A new topology on the universal path space. <i>Topology and its Applications</i>. 2017;231:186-196. doi:<a href=\"https://doi.org/10.1016/j.topol.2017.09.015\">10.1016/j.topol.2017.09.015</a>","mla":"Virk, Ziga, and Andreas Zastrow. “A New Topology on the Universal Path Space.” <i>Topology and Its Applications</i>, vol. 231, Elsevier, 2017, pp. 186–96, doi:<a href=\"https://doi.org/10.1016/j.topol.2017.09.015\">10.1016/j.topol.2017.09.015</a>.","chicago":"Virk, Ziga, and Andreas Zastrow. “A New Topology on the Universal Path Space.” <i>Topology and Its Applications</i>. Elsevier, 2017. <a href=\"https://doi.org/10.1016/j.topol.2017.09.015\">https://doi.org/10.1016/j.topol.2017.09.015</a>.","apa":"Virk, Z., &#38; Zastrow, A. (2017). A new topology on the universal path space. <i>Topology and Its Applications</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.topol.2017.09.015\">https://doi.org/10.1016/j.topol.2017.09.015</a>","short":"Z. Virk, A. Zastrow, Topology and Its Applications 231 (2017) 186–196."},"oa_version":"None","publication":"Topology and its Applications","year":"2017","date_created":"2018-12-11T11:48:14Z","publication_status":"published","isi":1,"intvolume":"       231"}]