Tanaka spaces and products of sequential spaces
Commentationes Mathematicae Universitatis Carolinae (2007)
- Volume: 48, Issue: 3, page 529-540
- ISSN: 0010-2628
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topTanaka, Yoshio. "Tanaka spaces and products of sequential spaces." Commentationes Mathematicae Universitatis Carolinae 48.3 (2007): 529-540. <http://eudml.org/doc/250237>.
@article{Tanaka2007,
abstract = {We consider properties of Tanaka spaces (introduced in Mynard F., More on strongly sequential spaces, Comment. Math. Univ. Carolin. 43 (2002), 525–530), strongly sequential spaces, and weakly sequential spaces. Applications include product theorems for these types of spaces.},
author = {Tanaka, Yoshio},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Tanaka space; strongly sequential space; weakly sequential space; sequential space; $k$-space; inner-closed $A$-space; Tanaka space; strongly sequential space; weakly sequential space; sequential space; -space; inner-closed -space},
language = {eng},
number = {3},
pages = {529-540},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Tanaka spaces and products of sequential spaces},
url = {http://eudml.org/doc/250237},
volume = {48},
year = {2007},
}
TY - JOUR
AU - Tanaka, Yoshio
TI - Tanaka spaces and products of sequential spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2007
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 48
IS - 3
SP - 529
EP - 540
AB - We consider properties of Tanaka spaces (introduced in Mynard F., More on strongly sequential spaces, Comment. Math. Univ. Carolin. 43 (2002), 525–530), strongly sequential spaces, and weakly sequential spaces. Applications include product theorems for these types of spaces.
LA - eng
KW - Tanaka space; strongly sequential space; weakly sequential space; sequential space; $k$-space; inner-closed $A$-space; Tanaka space; strongly sequential space; weakly sequential space; sequential space; -space; inner-closed -space
UR - http://eudml.org/doc/250237
ER -
References
top- Chen H., An answer to a conjecture on the countable products of -spaces, Proc. Amer. Math. Soc. 123 (1995), 583-587. (1995) Zbl0813.54021MR1273481
- Engelking R., General Topology, Heldermann Verlag, Berlin, 1988, . MR1039321
- Franklin S.P., Spaces in which sequences suffice II, Fund. Math. 61 (1967), 51-56. (1967) Zbl0168.43502MR0222832
- Gruenhage G., A note on the product of Fréchet spaces, Topology Proc. 3 (1978), 109-115. (1978) MR0540482
- Gruenhage G., Michael E., Tanaka Y., Spaces determined by point-countable covers, Pacific J. Math. 113 (1984), 303-332. (1984) Zbl0561.54016MR0749538
- Kannan V., Every compact sequential space is Fréchet, Fund. Math. 107 (1988), 85-90. (1988) MR0584661
- Lin S., Tanaka Y., Point-countable -networks, closed maps, and related results, Topology Appl. 59 (1994), 79-86. (1994) Zbl0817.54025MR1293119
- Michael E.A., A note on closed maps and compact sets, Israel J. Math. 2 (1964), 173-176. (1964) Zbl0136.19303MR0177396
- Michael E.A., Bi-quotient maps and cartesian products of quotient maps, Ann. Inst. Fourier, Grenoble 18 (1968), 287-302. (1968) Zbl0175.19704MR0244964
- Michael E.A., A quintuple quotient quest, General Topology Appl. 2 (1972), 91-138. (1972) Zbl0238.54009MR0309045
- Michael E., Olson R.C., Siwiec F., -spaces and countably bi-quotient maps, Dissertationes Math. 133 (1976), 4-43. (1976) Zbl0338.54006MR0418023
- Morita K., Some results on -spaces, Colloquia Math. Soc. János Bolyai 8 (1972), 489-503. (1972) MR0365462
- Mynard F., Strongly sequential spaces, Comment. Math. Univ. Carolin. 41 (2000), 143-153. (2000) Zbl1037.54504MR1756935
- Mynard F., More on strongly sequential spaces, Comment. Math. Univ. Carolin. 43 (2002), 525-530. (2002) Zbl1090.54006MR1920528
- Noble N., Products with closed projections, II, Trans. Amer. Math. Soc. 160 (1971), 169-183. (1971) Zbl0233.54004MR0283749
- Nogura T., The product of -spaces, Topology Appl. 21 (1985), 251-259. (1985) MR0812643
- Nogura T., Products of Fréchet spaces, General Topology and its Relations to Modern Analysis and Algebra VI, Proc. Sixth Prague Top. Symposium 1986, Heldermann Verlag, Berlin, 1988, pp.371-378. Zbl0654.54019MR0952623
- Olson R.C., Bi-quotient maps, countably bi-sequential spaces, and related topics, General Topology Appl. 4 (1974), 1-28. (1974) Zbl0278.54008MR0365463
- Simon P., A compact Fréchet space whose square is not Fréchet, Comment. Math. Univ. Carolin. 21 (1980), 749-753. (1980) Zbl0466.54022MR0597764
- Simon P., A hedgehog in the product, Acta Univ. Carolin. Math. Phys. 39 (1998), 147-153. (1998) MR1696588
- Siwiec F., Sequence-covering and countably bi-quotient mappings, General Topology Appl. 1 (1971), 143-154. (1971) Zbl0218.54016MR0288737
- Tanaka Y., On products of quasi-perfect maps, Proc. Japan Acad. 46 (1970), 1070-1073. (1970) Zbl0226.54008MR0296917
- Tanaka Y., Products of sequential spaces, Proc. Amer. Math. Soc. 54 (1976), 371-375. (1976) Zbl0292.54025MR0397665
- Tanaka Y., On closedness of - and -embeddings, Pacific J. Math. 68 (1977), 283-292. (1977) Zbl0374.54010MR0448299
- Tanaka Y., Some necessary conditions for products of -spaces, Bull. Tokyo Gakugei Univ. Ser. IV, 30 (1978), 1-16. (1978) Zbl0427.54016MR0512222
- Tanaka Y., Point-countable covers and -networks, Topology Proc. 12 (1987), 327-349. (1987) Zbl0676.54035MR0991759
- Tanaka Y., Products of -spaces, and questions, Comment. Math. Univ. Carolin. 41 (2000), 143-153. (2000) MR2026168
- Tanaka Y., Theory of -networks II, Questions Answers Gen. Topology 19 (2001), 27-46. (2001) Zbl0970.54023MR1815344
- Tanaka Y., Determining covers and dominating covers, Questions Answers Gen. Topology 24 (2006), 123-141. (2006) Zbl1111.54024MR2269658
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