New answers tagged

6 votes

Embeds in a topological W-group, or a W-space that embeds in a topological group?

Or, you can embed $X$ into a Tychonoff cube $[0,1]^\kappa$, where $\kappa$ is the weight of $X$, say. The Tychonoff cube embeds in the corresponding power of the unit circle, say by embedding $[0,1]$ ...
KP Hart's user avatar
  • 9,875
6 votes
Accepted

Embeds in a topological W-group, or a W-space that embeds in a topological group?

No, every Tychonoff space $X$ (so in particular every compact Hausdorff space) embeds (as a closed subspace) in $F(X)$, the free topological group over $X$. See chapter 7 of Topological groups and ...
Alessandro Codenotti's user avatar

Top 50 recent answers are included