A consistent counterexample in the theory of collectionwise Hausdorff spaces

S. Shelah

doi:10.1007/BF02764862

A consistent counterexample in the theory of collectionwise Hausdorff spaces

S. Shelah^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

It is shown to be consistent that there is a normal first countable locally countable space which is not collectionwise Hausdorff and in which there is a closed discrete non-G_δ set which provides the counterexample to collectionwise Hausdorffness. This answers a question of P. Nyikos.

Original language	English
Pages (from-to)	219-224
Number of pages	6
Journal	Israel Journal of Mathematics
Volume	65
Issue number	2
DOIs	https://doi.org/10.1007/BF02764862
State	Published - Jun 1989

Access to Document

10.1007/BF02764862

Cite this

@article{54cce70ea54e4f97b69733e960e5c5d2,

title = "A consistent counterexample in the theory of collectionwise Hausdorff spaces",

abstract = "It is shown to be consistent that there is a normal first countable locally countable space which is not collectionwise Hausdorff and in which there is a closed discrete non-G δ set which provides the counterexample to collectionwise Hausdorffness. This answers a question of P. Nyikos.",

author = "S. Shelah",

year = "1989",

month = jun,

doi = "10.1007/BF02764862",

language = "אנגלית",

volume = "65",

pages = "219--224",

journal = "Israel Journal of Mathematics",

issn = "0021-2172",

publisher = "Springer New York",

number = "2",

}

TY - JOUR

T1 - A consistent counterexample in the theory of collectionwise Hausdorff spaces

AU - Shelah, S.

PY - 1989/6

Y1 - 1989/6

N2 - It is shown to be consistent that there is a normal first countable locally countable space which is not collectionwise Hausdorff and in which there is a closed discrete non-G δ set which provides the counterexample to collectionwise Hausdorffness. This answers a question of P. Nyikos.

AB - It is shown to be consistent that there is a normal first countable locally countable space which is not collectionwise Hausdorff and in which there is a closed discrete non-G δ set which provides the counterexample to collectionwise Hausdorffness. This answers a question of P. Nyikos.

UR - https://www.scopus.com/pages/publications/51249174381

U2 - 10.1007/BF02764862

DO - 10.1007/BF02764862

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:51249174381

SN - 0021-2172

VL - 65

SP - 219

EP - 224

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

IS - 2

ER -

A consistent counterexample in the theory of collectionwise Hausdorff spaces

Abstract

Access to Document

Other files and links

Fingerprint

Cite this