# Locally compact linearly Lindelöf spaces

Commentationes Mathematicae Universitatis Carolinae (2002)

- Volume: 43, Issue: 1, page 155-158
- ISSN: 0010-2628

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topKunen, Kenneth. "Locally compact linearly Lindelöf spaces." Commentationes Mathematicae Universitatis Carolinae 43.1 (2002): 155-158. <http://eudml.org/doc/248975>.

@article{Kunen2002,

abstract = {There is a locally compact Hausdorff space which is linearly Lindelöf and not Lindelöf. This answers a question of Arhangel'skii and Buzyakova.},

author = {Kunen, Kenneth},

journal = {Commentationes Mathematicae Universitatis Carolinae},

keywords = {linearly Lindelöf; weak P-point; linearly Lindelöf; weak P-point},

language = {eng},

number = {1},

pages = {155-158},

publisher = {Charles University in Prague, Faculty of Mathematics and Physics},

title = {Locally compact linearly Lindelöf spaces},

url = {http://eudml.org/doc/248975},

volume = {43},

year = {2002},

}

TY - JOUR

AU - Kunen, Kenneth

TI - Locally compact linearly Lindelöf spaces

JO - Commentationes Mathematicae Universitatis Carolinae

PY - 2002

PB - Charles University in Prague, Faculty of Mathematics and Physics

VL - 43

IS - 1

SP - 155

EP - 158

AB - There is a locally compact Hausdorff space which is linearly Lindelöf and not Lindelöf. This answers a question of Arhangel'skii and Buzyakova.

LA - eng

KW - linearly Lindelöf; weak P-point; linearly Lindelöf; weak P-point

UR - http://eudml.org/doc/248975

ER -

## References

top- Arhangel'skii A.V., Buzyakova R.Z., Convergence in compacta and linear Lindelöfness, Comment. Math. Univ. Carolinae 39 (1998), 159-166. (1998) Zbl0937.54022MR1623006
- Baker J., Kunen K., Limits in the uniform ultrafilters, Trans. Amer. Math. Soc. 353 (2001), 4083-4093. (2001) Zbl0972.54019MR1837221
- Chang C.C., Keisler H.J., Model Theory, Third Edition, North-Holland, 1990. Zbl0697.03022MR1059055
- Dow A., Good and OK ultrafilters, Trans. Amer. Math. Soc. 290 (1985), 145-160. (1985) Zbl0532.54021MR0787959
- Keisler H.J., Good ideals in fields of sets, Ann. of Math. 79 (1964), 338-359. (1964) Zbl0137.00803MR0166105
- Keisler H.J., Ultraproducts of finite sets, J. Symbolic Logic 32 (1967), 47-57. (1967) Zbl0153.01702MR0235998
- Kunen K., Ultrafilters and independent sets, Trans. Amer. Math. Soc. 172 (1972), 299-306. (1972) MR0314619

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