Locally compact linearly Lindelöf spaces
Kunen, Kenneth
Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002), p. 155-158 / Harvested from Czech Digital Mathematics Library

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

Publié le : 2002-01-01
Classification:  03C20,  54B35,  54D20,  54D80
@article{119307,
     author = {Kenneth Kunen},
     title = {Locally compact linearly Lindel\"of spaces},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {43},
     year = {2002},
     pages = {155-158},
     zbl = {1090.54019},
     mrnumber = {1903314},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119307}
}
Kunen, Kenneth. Locally compact linearly Lindelöf spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002) pp. 155-158. http://gdmltest.u-ga.fr/item/119307/

Arhangel'Skii A.V.; Buzyakova R.Z. Convergence in compacta and linear Lindelöfness, Comment. Math. Univ. Carolinae 39 (1998), 159-166. (1998) | MR 1623006 | Zbl 0937.54022

Baker J.; Kunen K. Limits in the uniform ultrafilters, Trans. Amer. Math. Soc. 353 (2001), 4083-4093. (2001) | MR 1837221 | Zbl 0972.54019

Chang C.C.; Keisler H.J. Model Theory, Third Edition, North-Holland, 1990. | MR 1059055 | Zbl 0697.03022

Dow A. Good and OK ultrafilters, Trans. Amer. Math. Soc. 290 (1985), 145-160. (1985) | MR 0787959 | Zbl 0532.54021

Keisler H.J. Good ideals in fields of sets, Ann. of Math. 79 (1964), 338-359. (1964) | MR 0166105 | Zbl 0137.00803

Keisler H.J. Ultraproducts of finite sets, J. Symbolic Logic 32 (1967), 47-57. (1967) | MR 0235998 | Zbl 0153.01702

Kunen K. Ultrafilters and independent sets, Trans. Amer. Math. Soc. 172 (1972), 299-306. (1972) | MR 0314619