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

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Eda K., Karimov U., Repovš D.

Fundamenta Mathematicae

2007

tom 195

nr 3

193-203

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.

Ograniczanie wyników

1 Fundamenta Mathematicae

1 Eda K.

1 Karimov U.

1 Repovš D.

1 2007

Wyniki wyszukiwania

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