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Sibirskii Matematicheskii Zhurnal, 2007, Volume 48, Number 1, Pages 236–237
(Mi smj20)
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On two questions of the theory of retracts
P. V. Chernikov
Abstract:
We establish that condition $(\Gamma)$ on brick decomposition is indecomposable. This answers K. Borsuk's question [1]. We prove that there exist metric spaces $X$ and $Y$ and a point $(a,b)\in X\times Y$ such that $(a,b)$ is an $r$-point of the product $X\times Y$; moreover, $a$ is not an $r$-point of $X$. This answers A. Kosinski's question [2].
Keywords:
absolute retract, condition $(\Gamma)$, $Q$-manifold, $r$-point.
Received: 09.12.2005 Revised: 01.09.2006
Citation:
P. V. Chernikov, “On two questions of the theory of retracts”, Sibirsk. Mat. Zh., 48:1 (2007), 236–237; Siberian Math. J., 48:1 (2007), 189–190
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https://www.mathnet.ru/eng/smj20 https://www.mathnet.ru/eng/smj/v48/i1/p236
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Abstract page: | 253 | Full-text PDF : | 76 | References: | 40 |
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