| Autor: |
Ageev, S. M., Cencelj, M., Repovš, D. |
| Rok vydání: |
2008 |
| Předmět: |
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| Zdroj: |
Topology Appl. 156:13 (2009), 2175-2188. |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1016/j.topol.2009.04.003 |
| Popis: |
We prove that Dranishnikov's $k$-dimensional resolution $d_k\colon \mu^k\to Q$ is a UV$^{n-1}$-divider of Chigogidze's $k$-dimensional resolution $c_k$. This fact implies that $d_k^{-1}$ preserves $Z$-sets. A further development of the concept of UV$^{n-1}$-dividers permits us to find sufficient conditions for $d_k^{-1}(A)$ to be homeomorphic to the N\"{o}beling space $\nu^k$ or the universal pseudoboundary $\sigma^k$. We also obtain some other applications. |
| Databáze: |
arXiv |
| Externí odkaz: |
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