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Oliver Straser
Oliver Straser
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Is the Milnor construction contradictiblecontractible

Let $G$ be any topological group. Then we can form the infinite join $E_G$ of $G$, i.e. the colimit $G*G*G\cdots$.

Is $E_G$ contradictiblecontractible?

I mean it is clear that $E_G$ is weakly contradictiblecontractible, but I dont see why it should be contradictiblecontractible if $G$ is not a CW-space.

Is the Milnor construction contradictible

Let $G$ be any topological group. Then we can form the infinite join $E_G$ of $G$, i.e. the colimit $G*G*G\cdots$.

Is $E_G$ contradictible?

I mean it is clear that $E_G$ is weakly contradictible, but I dont see why it should be contradictible if $G$ is not a CW-space.

Is the Milnor construction contractible

Let $G$ be any topological group. Then we can form the infinite join $E_G$ of $G$, i.e. the colimit $G*G*G\cdots$.

Is $E_G$ contractible?

I mean it is clear that $E_G$ is weakly contractible, but I dont see why it should be contractible if $G$ is not a CW-space.

Source Link
Oliver Straser
Oliver Straser
  • 2.6k
  • 15
  • 27

Is the Milnor construction contradictible

Let $G$ be any topological group. Then we can form the infinite join $E_G$ of $G$, i.e. the colimit $G*G*G\cdots$.

Is $E_G$ contradictible?

I mean it is clear that $E_G$ is weakly contradictible, but I dont see why it should be contradictible if $G$ is not a CW-space.