First countability and local simple connectivity of one point unions

Katsuya Eda

doi:10.1090/S0002-9939-1990-1013969-5

First countability and local simple connectivity of one point unions

Katsuya Eda^*

^*Corresponding author for this work

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

Abstract

There exists a path-connected, simply connected, Tychonoff space X with x suchthat X is locally simply connected at x, but (X, x) V (X, x) is not simply connected.

Original language	English
Pages (from-to)	237-241
Number of pages	5
Journal	Proceedings of the American Mathematical Society
Volume	109
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9939-1990-1013969-5
Publication status	Published - 1990
Externally published	Yes

Keywords

First countable
Fundamental group
Locally simply connected
One point union

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

Access to Document

10.1090/S0002-9939-1990-1013969-5

Cite this

@article{a8ab66c3d84942b9be2f079eeeb159ef,

title = "First countability and local simple connectivity of one point unions",

abstract = "There exists a path-connected, simply connected, Tychonoff space X with x suchthat X is locally simply connected at x, but (X, x) V (X, x) is not simply connected.",

keywords = "First countable, Fundamental group, Locally simply connected, One point union",

author = "Katsuya Eda",

year = "1990",

doi = "10.1090/S0002-9939-1990-1013969-5",

language = "English",

volume = "109",

pages = "237--241",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "1",

}

TY - JOUR

T1 - First countability and local simple connectivity of one point unions

AU - Eda, Katsuya

PY - 1990

Y1 - 1990

N2 - There exists a path-connected, simply connected, Tychonoff space X with x suchthat X is locally simply connected at x, but (X, x) V (X, x) is not simply connected.

AB - There exists a path-connected, simply connected, Tychonoff space X with x suchthat X is locally simply connected at x, but (X, x) V (X, x) is not simply connected.

KW - First countable

KW - Fundamental group

KW - Locally simply connected

KW - One point union

UR - http://www.scopus.com/inward/record.url?scp=84966224921&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84966224921&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-1990-1013969-5

DO - 10.1090/S0002-9939-1990-1013969-5

M3 - Article

AN - SCOPUS:84966224921

SN - 0002-9939

VL - 109

SP - 237

EP - 241

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 1

ER -

First countability and local simple connectivity of one point unions

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this