2021-07-25T16:28:23Zhttps://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, EiichiWe 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.journal articleElsevier2016-04application/pdfTopology and its applications2024104170166-8641AA00459572https://tsukuba.repo.nii.ac.jp/record/38217/files/TIA_202.pdfeng10.1016/j.topol.2016.01.029© 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/