2021-07-27T00:19:43Zhttps://tsukuba.repo.nii.ac.jp/oaioai:tsukuba.repo.nii.ac.jp:000382172021-03-01T14:09:58ZContinuum-wise injective maps加藤, 久男Kato, HisaoMatsuhashi, Eiichi© 2016. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/We prove that for each n≥1n≥1 the set of all surjective continuum-wise injective maps from an n -dimensional continuum onto an LCn−1LCn−1-continuum with the disjoint (n−1,nn−1,n)-cells property is a dense GδGδ-subset of the space of all surjective maps. As a corollary, we get the following result which is essentially proved in [5]; the set of all arcwise increasing maps from the closed unit interval onto a Peano continuum without free arcs is a dense GδGδ-subset of the space of all surjective maps.Elsevier2016-04engjournal articlehttp://hdl.handle.net/2241/00141963https://tsukuba.repo.nii.ac.jp/records/3821710.1016/j.topol.2016.01.0290166-8641AA00459572Topology and its applications202410417https://tsukuba.repo.nii.ac.jp/record/38217/files/TIA_202.pdfapplication/pdf126.6 kB2018-05-01