{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,5,10]],"date-time":"2024-05-10T00:35:49Z","timestamp":1715301349912},"reference-count":11,"publisher":"World Scientific Pub Co Pte Lt","issue":"06","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2021,9]]},"abstract":"<jats:p> An immersion [Formula: see text] between [Formula: see text]-complexes is a [Formula: see text]-map that induces injections from star sets of [Formula: see text] to star sets of [Formula: see text]. We study immersions between finite-dimensional connected [Formula: see text]-complexes by replacing the fundamental group of the base space by an appropriate inverse monoid. We show how conjugacy classes of the closed inverse submonoids of this inverse monoid may be used to classify connected immersions into the complex. This extends earlier results of Margolis and Meakin for immersions between graphs and of Meakin and Szak\u00e1cs on immersions into [Formula: see text]-dimensional [Formula: see text]-complexes. <\/jats:p>","DOI":"10.1142\/s0218196721400117","type":"journal-article","created":{"date-parts":[[2021,6,22]],"date-time":"2021-06-22T13:46:15Z","timestamp":1624369575000},"page":"1243-1268","source":"Crossref","is-referenced-by-count":1,"title":["Inverse monoids and immersions of \u0394-complexes"],"prefix":"10.1142","volume":"31","author":[{"given":"John","family":"Meakin","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of Nebraska-Lincoln, Lincoln, NE 68588, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"N\u00f3ra","family":"Szak\u00e1cs","sequence":"additional","affiliation":[{"name":"Bolyai Institute, University of Szeged, Aradi v\u00e9rtan\u00fak tere 1. H-6720 Szeged, Hungary"},{"name":"Center of Mathematics, University of Porto, Rua do Campo Alegre 687, 4169-007 Porto, Portugal"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2021,6,21]]},"reference":[{"key":"S0218196721400117BIB001","volume-title":"Algebraic Topology","author":"Hatcher A.","year":"2001"},{"key":"S0218196721400117BIB002","volume-title":"Introduction to Automata Theory, Languages and Computation","author":"Hopcroft J. E.","year":"1979"},{"key":"S0218196721400117BIB003","doi-asserted-by":"publisher","DOI":"10.1142\/3645"},{"key":"S0218196721400117BIB004","doi-asserted-by":"publisher","DOI":"10.1142\/S021819679300007X"},{"key":"S0218196721400117BIB005","doi-asserted-by":"publisher","DOI":"10.1142\/S0218196715400123"},{"key":"S0218196721400117BIB006","doi-asserted-by":"publisher","DOI":"10.2307\/1969967"},{"key":"S0218196721400117BIB007","first-page":"384","volume":"30","author":"Munn W. D.","year":"1974","journal-title":"Proc. London Math. Soc."},{"key":"S0218196721400117BIB008","volume-title":"Inverse Semigroups","author":"Petrich M.","year":"1984"},{"key":"S0218196721400117BIB009","first-page":"164","volume":"3","author":"Schein B. M.","year":"1962","journal-title":"Izv. Vyss. Ucebn. Zav. Mat."},{"key":"S0218196721400117BIB010","doi-asserted-by":"publisher","DOI":"10.1007\/BF02095993"},{"key":"S0218196721400117BIB012","doi-asserted-by":"publisher","DOI":"10.1016\/0022-4049(90)90057-O"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196721400117","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,9,6]],"date-time":"2021-09-06T18:31:49Z","timestamp":1630953109000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196721400117"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,6,21]]},"references-count":11,"journal-issue":{"issue":"06","published-print":{"date-parts":[[2021,9]]}},"alternative-id":["10.1142\/S0218196721400117"],"URL":"https:\/\/doi.org\/10.1142\/s0218196721400117","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,6,21]]}}}