局所連結空間
Coppin, C. A. (1972), “Continuous Functions from a Connected Locally Connected Space into a Connected Space with a Dispersion Point”, Proceedings of the American Mathematical Society (American Mathematical Society) 32 (2): 625–626, doi:10.1090/S0002-9939-1972-0296913-7, JSTOR 2037874, https://jstor.org/stable/2037874 . For Hausdorff spaces, it is shown that any continuous function from a connected locally connected space into a connected space with a dispersion point is constant
Davis, H. S. (1968), “A Note on Connectedness Im Kleinen”, Proceedings of the American Mathematical Society (American Mathematical Society) 19 (5): 1237–1241, doi:10.1090/s0002-9939-1968-0254814-3, JSTOR 2036067, https://jstor.org/stable/2036067 .