2024-03-28T17:44:50Z
https://tsukuba.repo.nii.ac.jp/oai
oai:tsukuba.repo.nii.ac.jp:00038217
2022-04-27T09:07:53Z
117:1191
3:62:5602:1663
Continuum-wise injective maps
加藤, 久男
Kato, Hisao
Matsuhashi, Eiichi
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.
journal article
Elsevier
2016-04
application/pdf
Topology and its applications
202
410
417
0166-8641
AA00459572
https://tsukuba.repo.nii.ac.jp/record/38217/files/TIA_202.pdf
eng
10.1016/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/