Timeline for Images of $\{0,1\}^\kappa$

9 events

when toggle format	what		by	license	comment
May 18, 2015 at 9:05	answer	added	Włodzimierz Holsztyński		timeline score: 3
Mar 20, 2015 at 14:44	comment	added	Ramiro de la Vega		Note that any compact metric space is a continuous image of Cantor´s space $2^\omega$.
Mar 18, 2015 at 16:51	comment	added	Tomasz Kania		(To a now-deleted response) that cannot be right. Every subspace of $\{0,1\}^\kappa$ is zero-dimensional. As Bill says, every compact Hausdorff space is a continuous image of a zero-dimensional space and each zero-dimensional space $X$ embeds into $\{0,1\}^\kappa$ (for $\kappa$ equal to the weight of $X$). See Engelking's General topology.
Mar 18, 2015 at 15:34	comment	added	Bill Johnson		It is worth noting that every compact Hausdorff space is the continuous image of a closed subset of some product of $\{0,1\}$. You can find this in standard books; in particularly, Kelley's "General Topology".
Mar 18, 2015 at 13:54	answer	added	Tomasz Kania		timeline score: 7
Mar 18, 2015 at 13:50	vote	accept	Dominic van der Zypen
Mar 18, 2015 at 13:20	history	edited	Joseph Van Name		edited tags
Mar 18, 2015 at 13:16	answer	added	Joseph Van Name		timeline score: 19
Mar 18, 2015 at 11:56	history	asked	Dominic van der Zypen	CC BY-SA 3.0