Oh... theta mappings... 
connecting the dots.... damn the picture looks great.
Anyways I'm deeply embarrassed by my last post in this thread. I'm having some free time and I was trying to post as much as possible... since idk when I'll have time again... but I'm rushing and the last post is full of typos... it seems unreadable. I apologize. I'll fix it ASAP.
Did my best in order to fix it. Added clarifications and fixed typos.
connecting the dots.... damn the picture looks great. Anyways I'm deeply embarrassed by my last post in this thread. I'm having some free time and I was trying to post as much as possible... since idk when I'll have time again... but I'm rushing and the last post is full of typos... it seems unreadable. I apologize. I'll fix it ASAP.
Did my best in order to fix it. Added clarifications and fixed typos.
Mother Law \(\sigma^+\circ 0=\sigma \circ \sigma^+ \)
\({\rm Grp}_{\rm pt} ({\rm RK}J,G)\cong \mathbb N{\rm Set}_{\rm pt} (J, \Sigma^G)\)