A construction of noncontractible simply connected cell-like two-dimensional Peano continua

Katsuya Eda, Umed H. Karimov, and Dušan Repovš. "A construction of noncontractible simply connected cell-like two-dimensional Peano continua." Fundamenta Mathematicae 195.3 (2007): 193-203. <http://eudml.org/doc/282596>.

@article{KatsuyaEda2007,
abstract = {Using the topologist sine curve we present a new functorial construction of cone-like spaces, starting in the category of all path-connected topological spaces with a base point and continuous maps, and ending in the subcategory of all simply connected spaces. If one starts from a noncontractible n-dimensional Peano continuum for any n > 0, then our construction yields a simply connected noncontractible (n + 1)-dimensional cell-like Peano continuum. In particular, starting from the circle 𝕊¹, one gets a noncontractible simply connected cell-like 2-dimensional Peano continuum.},
author = {Katsuya Eda, Umed H. Karimov, Dušan Repovš},
journal = {Fundamenta Mathematicae},
keywords = {acyclicity; cell-like set; compactuum; cone-like curve; noncontractible; Peano continuum; since curve},
language = {eng},
number = {3},
pages = {193-203},
title = {A construction of noncontractible simply connected cell-like two-dimensional Peano continua},
url = {http://eudml.org/doc/282596},
volume = {195},
year = {2007},
}

TY - JOUR
AU - Katsuya Eda
AU - Umed H. Karimov
AU - Dušan Repovš
TI - A construction of noncontractible simply connected cell-like two-dimensional Peano continua
JO - Fundamenta Mathematicae
PY - 2007
VL - 195
IS - 3
SP - 193
EP - 203
AB - Using the topologist sine curve we present a new functorial construction of cone-like spaces, starting in the category of all path-connected topological spaces with a base point and continuous maps, and ending in the subcategory of all simply connected spaces. If one starts from a noncontractible n-dimensional Peano continuum for any n > 0, then our construction yields a simply connected noncontractible (n + 1)-dimensional cell-like Peano continuum. In particular, starting from the circle 𝕊¹, one gets a noncontractible simply connected cell-like 2-dimensional Peano continuum.
LA - eng
KW - acyclicity; cell-like set; compactuum; cone-like curve; noncontractible; Peano continuum; since curve
UR - http://eudml.org/doc/282596
ER -