Author: Urs Format: MarkdownItexadded a brief section ([here](https://ncatlab.org/nlab/show/K-orientation#ConnerFloydOrientation)) on the original "Conner-Floyd orientation"
$$
\array{
M SU &\longrightarrow& K \mathrm{O}
\\
\big\downarrow && \big\downarrow
\\
M \mathrm{U} &\longrightarrow& K \mathrm{U}
}
$$
<a href="https://ncatlab.org/nlab/revision/diff/K-orientation/16">diff</a>, <a href="https://ncatlab.org/nlab/revision/K-orientation/16">v16</a>, <a href="https://ncatlab.org/nlab/show/K-orientation">current</a>
added a brief section (here) on the original “Conner-Floyd orientation”
$\array{
M SU &\longrightarrow& K \mathrm{O}
\\
\big\downarrow && \big\downarrow
\\
M \mathrm{U} &\longrightarrow& K \mathrm{U}
}$
Author: Guest Format: TextI find the statement "Of course KU is also a complex oriented cohomology theory and as such canonically comes with an E∞-map MU→KU" at best misleading. What is the author trying to get at? - Nat
I find the statement "Of course KU is also a complex oriented cohomology theory and as such canonically comes with an E∞-map MU→KU" at best misleading. What is the author trying to get at? - Nat
Author: Urs Format: MarkdownItexThanks for catching. I have replaced ([here](https://ncatlab.org/nlab/show/K-orientation#OfCourse)) the "$E_\infty$-" by "homotop-commutative".
<a href="https://ncatlab.org/nlab/revision/diff/K-orientation/17">diff</a>, <a href="https://ncatlab.org/nlab/revision/K-orientation/17">v17</a>, <a href="https://ncatlab.org/nlab/show/K-orientation">current</a>
Thanks for catching. I have replaced (here) the “$E_\infty$-” by “homotop-commutative”.