Further properties of 1-sequence-covering maps

Tran Van An; Luong Quoc Tuyen

Commentationes Mathematicae Universitatis Carolinae (2008)

  • Volume: 49, Issue: 3, page 477-484
  • ISSN: 0010-2628

Abstract

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Some relationships between -sequence-covering maps and weak-open maps or sequence-covering -maps are discussed. These results are used to generalize a result from Lin S., Yan P., Sequence-covering maps of metric spaces, Topology Appl. 109 (2001), 301–314.

How to cite

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An, Tran Van, and Tuyen, Luong Quoc. "Further properties of 1-sequence-covering maps." Commentationes Mathematicae Universitatis Carolinae 49.3 (2008): 477-484. <http://eudml.org/doc/250300>.

@article{An2008,
abstract = {Some relationships between $1$-sequence-covering maps and weak-open maps or sequence-covering $s$-maps are discussed. These results are used to generalize a result from Lin S., Yan P., Sequence-covering maps of metric spaces, Topology Appl. 109 (2001), 301–314.},
author = {An, Tran Van, Tuyen, Luong Quoc},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {weak base; $sn$-network; sequence-covering; $1$-sequence-covering; weak-open; $\pi $-$s$-map; sequence-covering map; weak base; -network},
language = {eng},
number = {3},
pages = {477-484},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Further properties of 1-sequence-covering maps},
url = {http://eudml.org/doc/250300},
volume = {49},
year = {2008},
}

TY - JOUR
AU - An, Tran Van
AU - Tuyen, Luong Quoc
TI - Further properties of 1-sequence-covering maps
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2008
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 49
IS - 3
SP - 477
EP - 484
AB - Some relationships between $1$-sequence-covering maps and weak-open maps or sequence-covering $s$-maps are discussed. These results are used to generalize a result from Lin S., Yan P., Sequence-covering maps of metric spaces, Topology Appl. 109 (2001), 301–314.
LA - eng
KW - weak base; $sn$-network; sequence-covering; $1$-sequence-covering; weak-open; $\pi $-$s$-map; sequence-covering map; weak base; -network
UR - http://eudml.org/doc/250300
ER -

References

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  1. Arhangel'skii A.V., Mappings and spaces, Russian Math. Surveys 21 4 (1966), 115-162. (1966) MR0227950
  2. Davis S.W., More on Cauchy conditions, Topology Proc. 9 (1984), 31-36. (1984) Zbl0561.54020MR0781549
  3. Engelking R., General Topology, PWN-Polish Scientific Publishers, Warszawa, 1977. Zbl0684.54001MR0500780
  4. Franklin S.P., Spaces in which sequences suffice, Fund. Math. 57 (1965), 107-115. (1965) Zbl0132.17802MR0180954
  5. Ge X., Spaces with a locally countable -network, Lobachevskii J. Math. 26 (2007), 33-49. (2007) Zbl1140.54009MR2396700
  6. Ge Y., 10.2298/PIM0374121G, Publ. Inst. Math. (Beograd) (N.S.) 74 (88) (2003), 121-128. (2003) MR2066998DOI10.2298/PIM0374121G
  7. Ge Y., Spaces with countable -networks, Comment. Math. Univ. Carolin. 45 1 (2004), 169-176. (2004) Zbl1098.54025MR2076868
  8. Gruenhage G., Michael E., Tanaka Y., 10.2140/pjm.1984.113.303, Pacific J. Math. 113 2 (1984), 303-332. (1984) Zbl0561.54016MR0749538DOI10.2140/pjm.1984.113.303
  9. Ikeda Y., Tanaka Y., Spaces having star-countable -networks, Topology Proc. 18 (1993), 107-132. (1993) Zbl0829.54018MR1305126
  10. Ikeda Y., Liu C., Tanaka Y., 10.1016/S0166-8641(01)00145-6, Topology Appl. 122 1-2 (2002), 237-252. (2002) Zbl0994.54015MR1919303DOI10.1016/S0166-8641(01)00145-6
  11. Li Z., 10.1155/IJMMS.2005.1101, Int. J. Math. Math. Sci. 7 (2005), 1101-1107. (2005) Zbl1082.54023MR2170507DOI10.1155/IJMMS.2005.1101
  12. Li Z., Lin S., On the weak-open images of metric spaces, Czechoslovak Math. J. 54 (2004), 939-400. (2004) Zbl1080.54509MR2059259
  13. Lin S., Generalized Metric Spaces and Mappings, Chinese Science Press, Beijing, 1995 (Chinese). MR1375020
  14. Lin S., On sequence-covering -mappings, Adv. Math. (China) 25 6 (1996), 548-551. (1996) Zbl0864.54026MR1453163
  15. Lin S., Point-Countable Covers and Sequence-Covering Mappings, Chinese Science Press, Beijing, 2002. Zbl1004.54001MR1939779
  16. Lin S., Yan P., 10.1016/S0166-8641(99)00163-7, Topology Appl. 109 (2001), 301-314. (2001) Zbl0966.54012MR1807392DOI10.1016/S0166-8641(99)00163-7
  17. Liu C., 10.1016/j.topol.2004.11.008, Topology Appl. 150 (2005), 91-99. (2005) Zbl1081.54026MR2133670DOI10.1016/j.topol.2004.11.008
  18. O'Meara P., 10.2307/2037695, Proc. Amer. Math. Soc. 29 (1971), 183-189. (1971) Zbl0214.21105MR0276919DOI10.2307/2037695
  19. Michael E., -spaces, J. Math. Mech. 15 (1966), 983-1002. (1966) MR0206907
  20. Siwiec F., 10.2140/pjm.1974.52.233, Pacific J. Math. 52 (1974), 233-245. (1974) Zbl0285.54022MR0350706DOI10.2140/pjm.1974.52.233
  21. Tanaka Y., Point-countable covers and -networks, Topology Proc. 12 (1987), 327-349. (1987) Zbl0676.54035MR0991759
  22. Tanaka Y., Theory of -networks II, Questions Answers Gen. Topology 19 (2001), 27-46. (2001) Zbl0970.54023MR1815344
  23. Tanaka Y., Ge Y., Around quotient compact images of metric spaces, and symmetric spaces, Houston J. Math. 32 1 (2006), 99-117. (2006) Zbl1102.54034MR2202355
  24. Yan P., On strong sequence-covering compact mappings, Northeastern Math. J. 14 (1998), 341-344. (1998) Zbl0927.54030MR1685267
  25. Xia S., Characterizations of certain -first countable spaces, Adv. Math. (China) 29 (2000), 61-64. (2000) Zbl0999.54010MR1769127

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