@article{oai:tsukuba.repo.nii.ac.jp:00054050, author = {加藤, 久男 and KATO, Hisao}, issue = {10}, journal = {Proceedings of the American Mathematical Society}, month = {Oct}, note = {In the previous paper Adv. Math. 304 (2017), pp. 793-808, we proved that if for any graph $ G$, a homeomorphism on a $ G$-like continuum $ X$ has positive topological entropy, then the continuum $ X$ contains an indecomposable subcontinuum. Also, if for a tree $ G$, a monotone map on a $ G$-like continuum $ X$ has positive topological entropy, then the continuum $ X$ contains an indecomposable subcontinuum. In this note, we extend these results. In fact, we prove that if for any graph $ G$, a monotone map on a $ G$-like continuum $ X$ has positive topological entropy, then the continuum $ X$ contains an indecomposable subcontinuum. Also we study topological entropy of monotone maps on Suslinean continua.}, pages = {4363--4370}, title = {Monotone maps of $G$-like continua with positive topological entropy yield indecomposability}, volume = {147}, year = {2019}, yomi = {カトウ, ヒサオ} }