{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T07:20:22Z","timestamp":1740122422766,"version":"3.37.3"},"reference-count":17,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2022,4,8]],"date-time":"2022-04-08T00:00:00Z","timestamp":1649376000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2022,4,8]],"date-time":"2022-04-08T00:00:00Z","timestamp":1649376000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100002923","name":"Conicet","doi-asserted-by":"crossref","id":[{"id":"10.13039\/501100002923","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Appl Categor Struct"],"published-print":{"date-parts":[[2022,10]]},"DOI":"10.1007\/s10485-022-09680-2","type":"journal-article","created":{"date-parts":[[2022,4,8]],"date-time":"2022-04-08T19:26:15Z","timestamp":1649445975000},"page":"991-1015","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Maps with Discrete Fibers and the Origin of Basepoints"],"prefix":"10.1007","volume":"30","author":[{"given":"Mat\u00edas","family":"Menni","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2022,4,8]]},"reference":[{"key":"9680_CR1","doi-asserted-by":"publisher","DOI":"10.1515\/9781400877492","volume-title":"Foundations of Algebraic Topology. Princeton Mathematical Series No. 15","author":"S Eilenberg","year":"1952","unstructured":"Eilenberg, S., Steenrod, N.: Foundations of Algebraic Topology. Princeton Mathematical Series No. 15. University Press, Princeton (1952)"},{"issue":"4","key":"9680_CR2","doi-asserted-by":"publisher","first-page":"573","DOI":"10.1007\/s10485-020-09626-6","volume":"29","author":"J Hemelaer","year":"2021","unstructured":"Hemelaer, J., Rogers, M.: An essential, hyperconnected, local geometric morphism that is not locally connected. Appl. Categ. Struct. 29(4), 573\u2013576 (2021)","journal-title":"Appl. Categ. Struct."},{"key":"9680_CR3","doi-asserted-by":"publisher","first-page":"237","DOI":"10.1112\/plms\/s3-38.2.237","volume":"38","author":"PT Johnstone","year":"1979","unstructured":"Johnstone, P.T.: On a topological topos. Proc. Lond. Math. Soc. 38, 237\u2013271 (1979)","journal-title":"Proc. Lond. Math. Soc."},{"key":"9680_CR4","volume-title":"Sketches of an Elephant: A Topos Theory Compendium. Oxford Logic Guides","author":"PT Johnstone","year":"2002","unstructured":"Johnstone, P.T.: Sketches of an Elephant: A Topos Theory Compendium. Oxford Logic Guides, vol. 43\u201344. The Clarendon Press, New York (2002)"},{"key":"9680_CR5","first-page":"51","volume":"25","author":"PT Johnstone","year":"2011","unstructured":"Johnstone, P.T.: Remarks on punctual local connectedness. Theory Appl. Categ. 25, 51\u201363 (2011)","journal-title":"Theory Appl. Categ."},{"issue":"5","key":"9680_CR6","doi-asserted-by":"publisher","first-page":"891","DOI":"10.36045\/bbms\/1354031555","volume":"19","author":"PT Johnstone","year":"2012","unstructured":"Johnstone, P.T.: Calibrated toposes. Bull. Belg. Math. Soc. Simon Stevin 19(5), 891\u2013909 (2012)","journal-title":"Bull. Belg. Math. Soc. Simon Stevin"},{"issue":"2","key":"9680_CR7","first-page":"145","volume":"32","author":"A Kock","year":"1991","unstructured":"Kock, A., Moerdijk, I.: Presentations of \u00e9tendues. Cah. Topol. G\u00e9om. Diff\u00e9r. Cat\u00e9g. 32(2), 145\u2013164 (1991)","journal-title":"Cah. Topol. G\u00e9om. Diff\u00e9r. Cat\u00e9g."},{"key":"9680_CR8","unstructured":"Lawvere, F.W.: Re: covering spaces and groupoids. E-mail message sent to the categories list on 3 June (2010)"},{"key":"9680_CR9","doi-asserted-by":"crossref","unstructured":"Lawvere, F.W.: Some thoughts on the future of category theory. In: Proceedings of Category Theory 1990, Como, Italy, volume 1488 of Lecture Notes in Mathematics, pp. 1\u201313. Springer (1991)","DOI":"10.1007\/BFb0084208"},{"key":"9680_CR10","first-page":"1","volume":"9","author":"FW Lawvere","year":"2005","unstructured":"Lawvere, F.W.: Categories of spaces may not be generalized spaces as exemplified by directed graphs. Repr. Theory Appl. Categ. 9, 1\u20137 (2005). (Reprinted from Rev. Colombiana Mat. 20(3\u20134), 1986, pp. 179\u2013185)","journal-title":"Repr. Theory Appl. Categ."},{"key":"9680_CR11","first-page":"41","volume":"19","author":"FW Lawvere","year":"2007","unstructured":"Lawvere, F.W.: Axiomatic cohesion. Theory Appl. Categ. 19, 41\u201349 (2007)","journal-title":"Theory Appl. Categ."},{"key":"9680_CR12","first-page":"909","volume":"30","author":"FW Lawvere","year":"2015","unstructured":"Lawvere, F.W., Menni, M.: Internal choice holds in the discrete part of any cohesive topos satisfying stable connected codiscreteness. Theory Appl. Categ. 30, 909\u2013932 (2015)","journal-title":"Theory Appl. Categ."},{"issue":"2","key":"9680_CR13","doi-asserted-by":"publisher","first-page":"379","DOI":"10.1007\/s40062-016-0131-5","volume":"12","author":"F Marmolejo","year":"2017","unstructured":"Marmolejo, F., Menni, M.: On the relation between continuous and combinatorial. J. Homotopy Relat. Struct. 12(2), 379\u2013412 (2017)","journal-title":"J. Homotopy Relat. Struct."},{"issue":"4","key":"9680_CR14","doi-asserted-by":"publisher","first-page":"1667","DOI":"10.1017\/jsl.2018.42","volume":"83","author":"M Menni","year":"2018","unstructured":"Menni, M.: The Unity and Identity of decidable objects and double-negation sheaves. J. Symb. Log. 83(4), 1667\u20131679 (2018)","journal-title":"J. Symb. Log."},{"issue":"1","key":"9680_CR15","first-page":"3","volume":"60","author":"M Menni","year":"2019","unstructured":"Menni, M.: Every sufficiently cohesive topos is infinitesimally generated. Cah. Topol. G\u00e9om. Diff\u00e9r. Cat\u00e9g. 60(1), 3\u201331 (2019)","journal-title":"Cah. Topol. G\u00e9om. Diff\u00e9r. Cat\u00e9g."},{"key":"9680_CR16","first-page":"714","volume":"34","author":"M Menni","year":"2019","unstructured":"Menni, M.: Monic skeleta, boundaries, Aufhebung, and the meaning of \u2018one-dimensionality\u2019. Theory Appl. Categ. 34, 714\u2013735 (2019)","journal-title":"Theory Appl. Categ."},{"key":"9680_CR17","first-page":"1087","volume":"35","author":"LJ Turcio","year":"2020","unstructured":"Turcio, L.J.: Cohesive toposes of sheaves on monoids of continuous endofunctions of the unit interval. Theory Appl. Categ. 35, 1087\u20131100 (2020)","journal-title":"Theory Appl. Categ."}],"container-title":["Applied Categorical Structures"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10485-022-09680-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10485-022-09680-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10485-022-09680-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,8,27]],"date-time":"2022-08-27T10:10:19Z","timestamp":1661595019000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10485-022-09680-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,4,8]]},"references-count":17,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2022,10]]}},"alternative-id":["9680"],"URL":"https:\/\/doi.org\/10.1007\/s10485-022-09680-2","relation":{},"ISSN":["0927-2852","1572-9095"],"issn-type":[{"type":"print","value":"0927-2852"},{"type":"electronic","value":"1572-9095"}],"subject":[],"published":{"date-parts":[[2022,4,8]]},"assertion":[{"value":"15 April 2021","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"21 March 2022","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"8 April 2022","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}