Strongly sequential spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 41 (2000) no. 1, pp. 143-153
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The problem of Y. Tanaka [10] of characterizing the topologies whose products with each first-countable space are sequential, is solved. The spaces that answer the problem are called strongly sequential spaces in analogy to strongly Fréchet spaces.
The problem of Y. Tanaka [10] of characterizing the topologies whose products with each first-countable space are sequential, is solved. The spaces that answer the problem are called strongly sequential spaces in analogy to strongly Fréchet spaces.
Classification :
54A20, 54B10, 54B30, 54D55
Keywords: sequential; Fréchet; strongly Fréchet topology; product convergence; Antoine convergence; continuous convergence
Keywords: sequential; Fréchet; strongly Fréchet topology; product convergence; Antoine convergence; continuous convergence
@article{CMUC_2000_41_1_a13,
author = {Mynard, Fr\'ed\'eric},
title = {Strongly sequential spaces},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {143--153},
year = {2000},
volume = {41},
number = {1},
mrnumber = {1756935},
zbl = {1090.54006},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_2000_41_1_a13/}
}
Mynard, Frédéric. Strongly sequential spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 41 (2000) no. 1, pp. 143-153. http://geodesic.mathdoc.fr/item/CMUC_2000_41_1_a13/