{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,20]],"date-time":"2025-10-20T10:26:15Z","timestamp":1760955975139,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>For an arbitrary Coxeter group $W$, Reading and Speyer defined Cambrian semilattices $\\mathcal{C}_{\\gamma}$ as sub-semilattices of the weak order on $W$ induced by so-called $\\gamma$-sortable elements. In this article, we define an edge-labeling of $\\mathcal{C}_{\\gamma}$, and show that this is an EL-labeling for every closed interval of $\\mathcal{C}_{\\gamma}$. In addition, we use our labeling to show that every finite open interval in a Cambrian semilattice is either contractible or spherical, and we characterize the spherical intervals, generalizing a result by Reading.<\/jats:p>","DOI":"10.37236\/2910","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T01:31:55Z","timestamp":1578706315000},"source":"Crossref","is-referenced-by-count":1,"title":["On the Topology of the Cambrian Semilattices"],"prefix":"10.37236","volume":"20","author":[{"given":"Myrto","family":"Kallipoliti","sequence":"first","affiliation":[]},{"given":"Henri","family":"M\u00fchle","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2013,6,7]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v20i2p48\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v20i2p48\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T11:18:51Z","timestamp":1579259931000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v20i2p48"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,6,7]]},"references-count":0,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2013,4,9]]}},"URL":"https:\/\/doi.org\/10.37236\/2910","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2013,6,7]]},"article-number":"P48"}}