Problems on βN

Klaas Pieter Hart; Jan van Mill

doi:10.1016/j.topol.2024.109092

Problems on βN

Klaas Pieter Hart^*, Jan van Mill

^*Corresponding author for this work

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Abstract

This is an update on, and expansion of, our paper Open problems on βω in the book Open Problems in Topology.

Original language	English
Article number	109092
Number of pages	24
Journal	Topology and its Applications
Volume	364
DOIs	https://doi.org/10.1016/j.topol.2024.109092
Publication status	Published - 2024

Keywords

Almost disjoint family
Autohomeomorphism
Boolean algebra
F-space
Katowice problem
N
P(N)/fin
P-set
Rudin-Frolík order
Rudin-Keisler order
Stone space
Ultrafilter
Universal space
Čech-Stone compactification
βN

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10.1016/j.topol.2024.109092

1-s2.0-S0166864124002773-mainFinal published version, 748 KBLicence: CC BY

Cite this

@article{4433460f9d7742b6b4577d67df810554,

title = "Problems on βN",

abstract = "This is an update on, and expansion of, our paper Open problems on βω in the book Open Problems in Topology.",

keywords = "Almost disjoint family, Autohomeomorphism, Boolean algebra, F-space, Katowice problem, N, P(N)/fin, P-set, Rudin-Frol{\'i}k order, Rudin-Keisler order, Stone space, Ultrafilter, Universal space, {\v C}ech-Stone compactification, βN",

author = "Hart, {Klaas Pieter} and {van Mill}, Jan",

year = "2024",

doi = "10.1016/j.topol.2024.109092",

language = "English",

volume = "364",

journal = "Topology and its Applications",

issn = "0166-8641",

publisher = "Elsevier",

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T1 - Problems on βN

AU - Hart, Klaas Pieter

AU - van Mill, Jan

PY - 2024

Y1 - 2024

N2 - This is an update on, and expansion of, our paper Open problems on βω in the book Open Problems in Topology.

AB - This is an update on, and expansion of, our paper Open problems on βω in the book Open Problems in Topology.

KW - Almost disjoint family

KW - Autohomeomorphism

KW - Boolean algebra

KW - F-space

KW - Katowice problem

KW - N

KW - P(N)/fin

KW - P-set

KW - Rudin-Frolík order

KW - Rudin-Keisler order

KW - Stone space

KW - Ultrafilter

KW - Universal space

KW - Čech-Stone compactification

KW - βN

UR - http://www.scopus.com/inward/record.url?scp=85207019876&partnerID=8YFLogxK

U2 - 10.1016/j.topol.2024.109092

DO - 10.1016/j.topol.2024.109092

M3 - Article

AN - SCOPUS:85207019876

SN - 0166-8641

VL - 364

JO - Topology and its Applications

JF - Topology and its Applications

M1 - 109092

ER -

Problems on βN

Abstract

Keywords

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