{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:42Z","timestamp":1753893822992,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>Answering a question of Diestel,\u00a0we develop a topological notion of gammoids in infinite graphs which, unlike traditional infinite gammoids, always define a matroid.As our main tool, we prove for any infinite graph $G$ with vertex-sets $A$ and $B$, if every finite subset of $A$ is linked to $B$ by disjoint paths,\u00a0then the whole of $A$ can be linked to the closure of $B$ by disjoint paths or rays\u00a0in a natural topology on $G$ and its ends.This latter theorem implies the topological Menger theorem\u00a0of Diestel for locally finite graphs.\u00a0It also implies a special case of the infinite Menger theorem of Aharoni and Berger.<\/jats:p>","DOI":"10.37236\/6083","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T15:10:33Z","timestamp":1578669033000},"source":"Crossref","is-referenced-by-count":0,"title":["Topological Infinite Gammoids, and a New Menger-Type Theorem for Infinite Graphs"],"prefix":"10.37236","volume":"25","author":[{"given":"Johannes","family":"Carmesin","sequence":"first","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2018,9,7]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v25i3p38\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v25i3p38\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T04:26:38Z","timestamp":1579235198000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v25i3p38"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,9,7]]},"references-count":0,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2018,7,12]]}},"URL":"https:\/\/doi.org\/10.37236\/6083","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2018,9,7]]},"article-number":"P3.38"}}