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Sibirskii Matematicheskii Zhurnal, 2007, Volume 48, Number 1, Pages 236–237 (Mi smj20)  
On two questions of the theory of retracts

P. V. Chernikov
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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
English version:
Siberian Mathematical Journal, 2007, Volume 48, Issue 1, Pages 189–190
DOI: https://doi.org/10.1007/s11202-007-0020-6
Bibliographic databases:
UDC: 513.83
Language: Russian
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
Citation in format AMSBIB
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    		Сибирский математический журнал Siberian Mathematical Journal
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