On compactifications with path connected remainders

J.J. Dijkstra

doi:10.1090/S0002-9939-08-09567-1

On compactifications with path connected remainders

J.J. Dijkstra

Mathematics

Research output: Contribution to Journal › Article › Academic › peer-review

229 Downloads (Pure)

Abstract

We prove that every separable and metrizable space admits a metrizable compactification with a remainder that is both path connected and locally path connected. This result answers a question of P. Simon. © 2008 American Mathematical Society.

Original language	English
Pages (from-to)	4461-4466
Number of pages	6
Journal	Proceedings of the American Mathematical Society
Volume	136
Issue number	12
DOIs	https://doi.org/10.1090/S0002-9939-08-09567-1
Publication status	Published - 2008

Bibliographical note

MR2431063

Access to Document

10.1090/S0002-9939-08-09567-1

220390Final published version, 137 KB
220390Final published version, 137 KB

Handle.net

Persistent link

Cite this

@article{9026dd5978b1477cbdd8b1e8fa595b04,

title = "On compactifications with path connected remainders",

abstract = "We prove that every separable and metrizable space admits a metrizable compactification with a remainder that is both path connected and locally path connected. This result answers a question of P. Simon. {\textcopyright} 2008 American Mathematical Society.",

author = "J.J. Dijkstra",

note = "MR2431063",

year = "2008",

doi = "10.1090/S0002-9939-08-09567-1",

language = "English",

volume = "136",

pages = "4461--4466",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "12",

}

TY - JOUR

T1 - On compactifications with path connected remainders

AU - Dijkstra, J.J.

N1 - MR2431063

PY - 2008

Y1 - 2008

N2 - We prove that every separable and metrizable space admits a metrizable compactification with a remainder that is both path connected and locally path connected. This result answers a question of P. Simon. © 2008 American Mathematical Society.

AB - We prove that every separable and metrizable space admits a metrizable compactification with a remainder that is both path connected and locally path connected. This result answers a question of P. Simon. © 2008 American Mathematical Society.

U2 - 10.1090/S0002-9939-08-09567-1

DO - 10.1090/S0002-9939-08-09567-1

M3 - Article

SN - 0002-9939

VL - 136

SP - 4461

EP - 4466

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 12

ER -

On compactifications with path connected remainders

Abstract

Bibliographical note

Access to Document

Handle.net

Fingerprint

Cite this