A nonaspherical cell-like 2-dimensional simply connected continuum and related constructions

Katsuya Eda; Umed H. Karimov; Dušan Repovš

doi:10.1016/j.topol.2008.07.019

A nonaspherical cell-like 2-dimensional simply connected continuum and related constructions

Katsuya Eda^*, Umed H. Karimov, Dušan Repovš

^*Corresponding author for this work

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

7 Citations (Scopus)

Abstract

We prove the existence of a 2-dimensional nonaspherical simply connected cell-like Peano continuum (the space itself was constructed in one of our earlier papers). We also indicate some relations between this space and the well-known Griffiths' space from the 1950s.

Original language	English
Pages (from-to)	515-521
Number of pages	7
Journal	Topology and its Applications
Volume	156
Issue number	3
DOIs	https://doi.org/10.1016/j.topol.2008.07.019
Publication status	Published - 2009 Jan 1

Keywords

Cell-like space
Nonaspherical space
Peano continuum
Simple connectivity
Trivial shape

ASJC Scopus subject areas

Geometry and Topology

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10.1016/j.topol.2008.07.019

Cite this

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title = "A nonaspherical cell-like 2-dimensional simply connected continuum and related constructions",

abstract = "We prove the existence of a 2-dimensional nonaspherical simply connected cell-like Peano continuum (the space itself was constructed in one of our earlier papers). We also indicate some relations between this space and the well-known Griffiths' space from the 1950s.",

keywords = "Cell-like space, Nonaspherical space, Peano continuum, Simple connectivity, Trivial shape",

author = "Katsuya Eda and Karimov, {Umed H.} and Du{\v s}an Repov{\v s}",

year = "2009",

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doi = "10.1016/j.topol.2008.07.019",

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T1 - A nonaspherical cell-like 2-dimensional simply connected continuum and related constructions

AU - Eda, Katsuya

AU - Karimov, Umed H.

AU - Repovš, Dušan

PY - 2009/1/1

Y1 - 2009/1/1

N2 - We prove the existence of a 2-dimensional nonaspherical simply connected cell-like Peano continuum (the space itself was constructed in one of our earlier papers). We also indicate some relations between this space and the well-known Griffiths' space from the 1950s.

AB - We prove the existence of a 2-dimensional nonaspherical simply connected cell-like Peano continuum (the space itself was constructed in one of our earlier papers). We also indicate some relations between this space and the well-known Griffiths' space from the 1950s.

KW - Cell-like space

KW - Nonaspherical space

KW - Peano continuum

KW - Simple connectivity

KW - Trivial shape

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DO - 10.1016/j.topol.2008.07.019

M3 - Article

AN - SCOPUS:58349100664

SN - 0166-8641

VL - 156

SP - 515

EP - 521

JO - Topology and its Applications

JF - Topology and its Applications

IS - 3

ER -

A nonaspherical cell-like 2-dimensional simply connected continuum and related constructions

Abstract

Keywords

ASJC Scopus subject areas

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