{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,20]],"date-time":"2025-09-20T21:19:19Z","timestamp":1758403159491},"reference-count":12,"publisher":"World Scientific Pub Co Pte Lt","issue":"01n02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2015,2]]},"abstract":"<jats:p> It is well known that under mild conditions on a connected topological space \ud835\udcb3, connected covers of \ud835\udcb3 may be classified via conjugacy classes of subgroups of the fundamental group of \ud835\udcb3. In this paper, we extend these results to the study of immersions into two-dimensional CW-complexes. An immersion f : \ud835\udc9f \u2192 \ud835\udc9e between CW-complexes is a cellular map such that each point y \u2208 \ud835\udc9f has a neighborhood U that is mapped homeomorphically onto f(U) by f. In order to classify immersions into a two-dimensional CW-complex \ud835\udc9e, we need to replace the fundamental group of \ud835\udc9e 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. <\/jats:p>","DOI":"10.1142\/s0218196715400123","type":"journal-article","created":{"date-parts":[[2015,1,9]],"date-time":"2015-01-09T08:33:15Z","timestamp":1420792395000},"page":"301-323","source":"Crossref","is-referenced-by-count":5,"title":["Inverse monoids and immersions of 2-Complexes"],"prefix":"10.1142","volume":"25","author":[{"given":"John","family":"Meakin","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of Nebraska-Lincoln, Lincoln, NE 68588, USA"}]},{"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"}]}],"member":"219","published-online":{"date-parts":[[2015,3,25]]},"reference":[{"key":"rf1","volume-title":"Algebraic Topology","author":"Hatcher A.","year":"2001"},{"key":"rf2","volume-title":"Introduction to Automata Theory, Languages and Computation","author":"Hopcroft J. E.","year":"1979"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1142\/3645"},{"key":"rf4","volume-title":"Categories for the Working Mathematician","author":"Mac Lane S.","year":"1977"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1142\/S021819679300007X"},{"key":"rf6","volume-title":"Topology","author":"Munkres J. R.","year":"2000"},{"key":"rf7","first-page":"384","volume":"30","author":"Munn W. D.","year":"1974","journal-title":"Proc. London Math. Soc."},{"key":"rf8","volume-title":"Inverse Semigroups","author":"Petrich M.","year":"1984"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1007\/BF02574174"},{"key":"rf10","first-page":"164","volume":"3","author":"Schein B. M.","year":"1962","journal-title":"Izv. Vyss. Ucebn. Zav. Mat."},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1007\/BF02095993"},{"key":"rf13","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\/S0218196715400123","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T00:27:03Z","timestamp":1565137623000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196715400123"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,2]]},"references-count":12,"journal-issue":{"issue":"01n02","published-online":{"date-parts":[[2015,3,25]]},"published-print":{"date-parts":[[2015,2]]}},"alternative-id":["10.1142\/S0218196715400123"],"URL":"https:\/\/doi.org\/10.1142\/s0218196715400123","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,2]]}}}