A counterexample related to topological sums

Shuji Yamamoto; Atsushi Yamashita

doi:10.1090/S0002-9939-06-08596-0

A counterexample related to topological sums

Shuji Yamamoto, Atsushi Yamashita

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

1 Citation (Scopus)

Abstract

In this paper we construct compact metric spaces X, Y which are topologically distinct but whose topological sums X square union sign X and Y square union sign Y are homeomorphic.

Original language	English
Pages (from-to)	3715-3719
Number of pages	5
Journal	Proceedings of the American Mathematical Society
Volume	134
Issue number	12
DOIs	https://doi.org/10.1090/S0002-9939-06-08596-0
Publication status	Published - 2006 Dec
Externally published	Yes

Keywords

Counterexample
Disjoint union
Topological sum

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1090/S0002-9939-06-08596-0

Cite this

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title = "A counterexample related to topological sums",

abstract = "In this paper we construct compact metric spaces X, Y which are topologically distinct but whose topological sums X square union sign X and Y square union sign Y are homeomorphic.",

keywords = "Counterexample, Disjoint union, Topological sum",

author = "Shuji Yamamoto and Atsushi Yamashita",

year = "2006",

month = dec,

doi = "10.1090/S0002-9939-06-08596-0",

language = "English",

volume = "134",

pages = "3715--3719",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

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AU - Yamamoto, Shuji

AU - Yamashita, Atsushi

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AB - In this paper we construct compact metric spaces X, Y which are topologically distinct but whose topological sums X square union sign X and Y square union sign Y are homeomorphic.

KW - Counterexample

KW - Disjoint union

KW - Topological sum

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EP - 3719

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 12

ER -

A counterexample related to topological sums

Abstract

Keywords

ASJC Scopus subject areas

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