Lindelöf spaces with small pseudocharacter and an analog of Borel's conjecture for subsets of [0; 1]@1

Franklin D. Tall; Toshimichi Usuba

Lindelöf spaces with small pseudocharacter and an analog of Borel's conjecture for subsets of [0; 1]@1

Franklin D. Tall^*, Toshimichi Usuba

^*Corresponding author for this work

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

2 Citations (Scopus)

Abstract

e improve results of Shelah, Tall, and Scheepers concerning the cardinality of Lindelöf spaces with small pseudocharacter. We establish the consistency of an analog of Borel's Conjecture for subspaces of [0; 1]@1 .

Original language	English
Pages (from-to)	1299-1309
Number of pages	11
Journal	Houston Journal of Mathematics
Volume	40
Issue number	4
Publication status	Published - 2014 Jan 1
Externally published	Yes

Keywords

Generalized Borel Conjecture
Lindelöf indestructibility
Lindelöf spaces with small pseudocharacter

ASJC Scopus subject areas

Mathematics(all)

Cite this

@article{c4e02049068d4c52a86ea5c756c0aafb,

title = "Lindel{\"o}f spaces with small pseudocharacter and an analog of Borel's conjecture for subsets of [0; 1]@1",

abstract = "e improve results of Shelah, Tall, and Scheepers concerning the cardinality of Lindel{\"o}f spaces with small pseudocharacter. We establish the consistency of an analog of Borel's Conjecture for subspaces of [0; 1]@1 .",

keywords = "Generalized Borel Conjecture, Lindel{\"o}f indestructibility, Lindel{\"o}f spaces with small pseudocharacter",

author = "Tall, {Franklin D.} and Toshimichi Usuba",

year = "2014",

month = jan,

day = "1",

language = "English",

volume = "40",

pages = "1299--1309",

journal = "Houston Journal of Mathematics",

issn = "0362-1588",

publisher = "University of Houston",

number = "4",

}

TY - JOUR

T1 - Lindelöf spaces with small pseudocharacter and an analog of Borel's conjecture for subsets of [0; 1]@1

AU - Tall, Franklin D.

AU - Usuba, Toshimichi

PY - 2014/1/1

Y1 - 2014/1/1

N2 - e improve results of Shelah, Tall, and Scheepers concerning the cardinality of Lindelöf spaces with small pseudocharacter. We establish the consistency of an analog of Borel's Conjecture for subspaces of [0; 1]@1 .

AB - e improve results of Shelah, Tall, and Scheepers concerning the cardinality of Lindelöf spaces with small pseudocharacter. We establish the consistency of an analog of Borel's Conjecture for subspaces of [0; 1]@1 .

KW - Generalized Borel Conjecture

KW - Lindelöf indestructibility

KW - Lindelöf spaces with small pseudocharacter

UR - http://www.scopus.com/inward/record.url?scp=84922378743&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84922378743&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84922378743

SN - 0362-1588

VL - 40

SP - 1299

EP - 1309

JO - Houston Journal of Mathematics

JF - Houston Journal of Mathematics

IS - 4

ER -

Lindelöf spaces with small pseudocharacter and an analog of Borel's conjecture for subsets of [0; 1]@1

Abstract

Keywords

ASJC Scopus subject areas

Other files and links

Fingerprint

Cite this