Strong surjections from two-complexes with trivial top-cohomology onto the torus (Q306130)
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scientific article; zbMATH DE number 6620855
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Strong surjections from two-complexes with trivial top-cohomology onto the torus |
scientific article; zbMATH DE number 6620855 |
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Strong surjections from two-complexes with trivial top-cohomology onto the torus (English)
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31 August 2016
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In this paper the author builds a countable collection of finite and connected two-dimensional CW complexes (two-complexes, to shorten) with trivial second integer cohomology group and, from each of them, a map onto the torus whose homotopy class contains only surjective maps (a strong surjection). Furthermore, the author proves that such two-complexes are the simplest with these properties.
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strong surjection
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two-dimensional complexes
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zero top-cohomology
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free groups
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root theory
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