We prove that the Martin compactification of a plane domain is homeomorphic to a subset of the two-dimensional sphere.
On montre que la compactification de Martin d’un domaine plan est homéomorphe à un sous ensemble de la sphère de dimension deux.
@article{AIF_1994__44_5_1351_0, author = {Nadirashvili, Nikolai S.}, title = {The {Martin} compactification of a plane domain}, journal = {Annales de l'Institut Fourier}, pages = {1351--1354}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {44}, number = {5}, year = {1994}, doi = {10.5802/aif.1436}, zbl = {0919.31001}, mrnumber = {96b:31002}, language = {en}, url = {http://www.numdam.org/articles/10.5802/aif.1436/} }
TY - JOUR AU - Nadirashvili, Nikolai S. TI - The Martin compactification of a plane domain JO - Annales de l'Institut Fourier PY - 1994 SP - 1351 EP - 1354 VL - 44 IS - 5 PB - Association des Annales de l’institut Fourier UR - http://www.numdam.org/articles/10.5802/aif.1436/ UR - https://zbmath.org/?q=an%3A0919.31001 UR - https://www.ams.org/mathscinet-getitem?mr=96b:31002 UR - https://doi.org/10.5802/aif.1436 DO - 10.5802/aif.1436 LA - en ID - AIF_1994__44_5_1351_0 ER -
Nadirashvili, Nikolai S. The Martin compactification of a plane domain. Annales de l'Institut Fourier, Volume 44 (1994) no. 5, pp. 1351-1354. doi : 10.5802/aif.1436. http://www.numdam.org/articles/10.5802/aif.1436/