{"id":741,"date":"2016-03-10T10:12:03","date_gmt":"2016-03-10T09:12:03","guid":{"rendered":"http:\/\/logica.dmi.unisa.it\/lucaspada\/?p=741"},"modified":"2017-10-05T09:41:27","modified_gmt":"2017-10-05T08:41:27","slug":"mv-algebras-infinite-dimensional-polyhedra-and-natural-dualities","status":"publish","type":"post","link":"http:\/\/logica.dipmat.unisa.it\/lucaspada\/741-mv-algebras-infinite-dimensional-polyhedra-and-natural-dualities\/","title":{"rendered":"MV-algebras, infinite dimensional polyhedra, and natural dualities"},"content":{"rendered":"<p><a href=\"https:\/\/sites.google.com\/site\/leomcabrer\/\">Leo<\/a> and I have just finished our paper on the connection between natural dualities and the <a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/219-the-dual-adjunction-between-mv-algebras-and-tychonoff-spaces\/\">duality<\/a> between semisimple MV-algebras and compact Hausdorff spaces with definable maps. Actually, we provide a description of definable maps that is intrinsically geometric. In addition, we give some applications to semisimple tensor products, strongly semisimple and polyhedral MV-algebras.<\/p>\n<p style=\"text-align: center;\">The paper can be downloaded <a href=\"http:\/\/arxiv.org\/pdf\/1603.01005v1\">here<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Leo and I have just finished our paper on the connection between natural dualities and the duality between semisimple MV-algebras and compact Hausdorff spaces with definable maps. Actually, we provide a description of definable maps that is intrinsically geometric. In addition, we give some applications to semisimple tensor products, strongly semisimple and polyhedral MV-algebras. The [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[17],"tags":[31,33,139,55,68,28,29,138,143,140,141,142,39],"class_list":["post-741","post","type-post","status-publish","format-standard","hentry","category-preprint","tag-categorical-duality","tag-compact-hausdorff-spaces","tag-definable-maps","tag-duality","tag-first-order-many-valued-logic","tag-lukasiewicz-logic","tag-mv-algebras","tag-natural-dualities","tag-polyhedral-mv-algebras","tag-presentation","tag-semisimple-tensor-product","tag-strongly-semisimple-mv-algebras","tag-z-maps"],"blocksy_meta":[],"_links":{"self":[{"href":"http:\/\/logica.dipmat.unisa.it\/lucaspada\/wp-json\/wp\/v2\/posts\/741","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/logica.dipmat.unisa.it\/lucaspada\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/logica.dipmat.unisa.it\/lucaspada\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/logica.dipmat.unisa.it\/lucaspada\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/logica.dipmat.unisa.it\/lucaspada\/wp-json\/wp\/v2\/comments?post=741"}],"version-history":[{"count":3,"href":"http:\/\/logica.dipmat.unisa.it\/lucaspada\/wp-json\/wp\/v2\/posts\/741\/revisions"}],"predecessor-version":[{"id":1139,"href":"http:\/\/logica.dipmat.unisa.it\/lucaspada\/wp-json\/wp\/v2\/posts\/741\/revisions\/1139"}],"wp:attachment":[{"href":"http:\/\/logica.dipmat.unisa.it\/lucaspada\/wp-json\/wp\/v2\/media?parent=741"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/logica.dipmat.unisa.it\/lucaspada\/wp-json\/wp\/v2\/categories?post=741"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/logica.dipmat.unisa.it\/lucaspada\/wp-json\/wp\/v2\/tags?post=741"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}