{"id":5460,"date":"2025-07-23T16:54:20","date_gmt":"2025-07-23T14:54:20","guid":{"rendered":"https:\/\/projects.illc.uva.nl\/lgc\/seminar\/?p=5460"},"modified":"2025-10-22T16:52:06","modified_gmt":"2025-10-22T14:52:06","slug":"joint-llama-lira-session-rafal-gruszczynski","status":"publish","type":"post","link":"https:\/\/projects.illc.uva.nl\/lgc\/seminar\/2025\/07\/joint-llama-lira-session-rafal-gruszczynski\/","title":{"rendered":"Joint LLAMA-LIRa session: Rafa\u0142 Gruszczy\u0144ski"},"content":{"rendered":"<p>Speaker: <a href=\"http:\/\/www.home.umk.pl\/~gruszka\/\">Rafa\u0142 Gruszczy\u0144ski<\/a> (Nicolaus Copernicus University)<\/p>\n<p>Date and Time: Thursday, November&nbsp;6th 2025, 16:30-18:00<\/p>\n<p>Venue: ILLC Seminar Room F1.15, Science Park 107 and\u00a0online.<\/p>\n<p>Title: <strong>Partition Contact Algebras<\/strong><\/p>\n<p><em>Abstract<\/em>. Boolean Contact Algebras (BCAs) are Boolean algebras expanded with a binary relation C. Under the intended interpretation, the elements of the domain are treated as regions of space, and C as the contact relation between regions. They were put forward as a version of point-free theories of topology, and for 25 years, have developed into a vibrant area of research on the intersection of logic and mathematics.<br \/>\nIn my presentation I will talk about a particular BCAs that arise from partitions of the unity. Given such a partition, we may define a contact relation in the following way: regions x and y are in contact iff they both overlap the same cell of a partition. This subclass of\u00a0 the class of BCAs is called in the presentation Partition Contact Algebras (PCAs).<br \/>\nPCAs have a natural interpretation. If the partition is finite, we may think of it as a resolution, and of its elements as pixels. The contact relation may then be thought of as a kind of rough or approximate nearness of regions relativized to the coarseness of the resolution: the more pixels we have, the less regions are in contact with each other.<br \/>\nIn my talk, I will focus on algebraic aspects of PCAs.<\/p>\n<p>This is a joint work with Sergio Celani and Paula Mench\u00f3n (Tandil, Argentina).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Speaker: Rafa\u0142 Gruszczy\u0144ski (Nicolaus Copernicus University)<br \/>\nDate and Time: Thursday, November&nbsp;6th 2025, 16:30-18:00<br \/>\nVenue: ILLC Seminar Room F1.15, Science Park 107 and\u00a0online.<br \/>\nTitle: Partition Contact Algebras<br \/>\nAbstract. Boolean Contact Algebras (BCAs) are Boolean algebras expanded with a binary relation C. Under the intended interpretation, the elements of the domain are treated as regions of space, and C as the [&#8230;]<\/p>\n","protected":false},"author":11,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[14],"tags":[],"class_list":["post-5460","post","type-post","status-publish","format-standard","hentry","category-all"],"_links":{"self":[{"href":"https:\/\/projects.illc.uva.nl\/lgc\/seminar\/wp-json\/wp\/v2\/posts\/5460","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/projects.illc.uva.nl\/lgc\/seminar\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/projects.illc.uva.nl\/lgc\/seminar\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/projects.illc.uva.nl\/lgc\/seminar\/wp-json\/wp\/v2\/users\/11"}],"replies":[{"embeddable":true,"href":"https:\/\/projects.illc.uva.nl\/lgc\/seminar\/wp-json\/wp\/v2\/comments?post=5460"}],"version-history":[{"count":3,"href":"https:\/\/projects.illc.uva.nl\/lgc\/seminar\/wp-json\/wp\/v2\/posts\/5460\/revisions"}],"predecessor-version":[{"id":5508,"href":"https:\/\/projects.illc.uva.nl\/lgc\/seminar\/wp-json\/wp\/v2\/posts\/5460\/revisions\/5508"}],"wp:attachment":[{"href":"https:\/\/projects.illc.uva.nl\/lgc\/seminar\/wp-json\/wp\/v2\/media?parent=5460"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/projects.illc.uva.nl\/lgc\/seminar\/wp-json\/wp\/v2\/categories?post=5460"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/projects.illc.uva.nl\/lgc\/seminar\/wp-json\/wp\/v2\/tags?post=5460"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}