@article{6fb61469c7064455aa1f9725ea304fe7,
title = "Mackey first countability and docile locally convex spaces",
abstract = "We define a generalization of Mackey first countability and prove that it is equivalent to being docile. A consequence of the main result is to give a partial affirmative answer to an old question of Mackey regarding arbitrary quotients of Mackey first countable spaces. Some applications of the main result to spaces such as inductive limits are also given.",
keywords = "Bounded set, Mackey first countable, docile space, inductive limit",
author = "Giral, {Carlos Bosch} and Gilsdorf, {Thomas E.} and Claudia G{\'o}mez-Wulschner",
note = "Funding Information: Acknowledgements T. Gilsdorf would like to acknowledge research support for this paper as part of a Fulbright Gar{\'c}ıa Robles Scholarship at the Instituto Tecnol{\'o}gico Aut{\'o}nomo de M{\'e}xico (ITAM), Mexico City, 2006–2007. He is also grateful to the University of North Dakota for Developmental Leave support. C. Bosch and C. G{\'o}mez are partially supported by the Asociaci{\'o}n Mexicana de Cultura, A. C.",
year = "2011",
month = apr,
doi = "10.1007/s10114-011-8540-1",
language = "English",
volume = "27",
pages = "737--740",
journal = "Acta Mathematica Sinica, English Series",
issn = "1439-8516",
number = "4",
}