Topology with Monoidal Control, by RenÚ dePont Christensen and Hans J°rgen Munkholm

This paper defines monoidal control, which specializes control by entourage and on metric spaces generalizes bounded control and describes continuous control. A colimit machine is developed for the purpose of systematically transferring results from bounded control to monoidal and hence continuous control. Hurewicz and Whitehead theorems are given using this machinery.


RenÚ dePont Christensen <rdp@imada.sdu.dk>
Hans J°rgen Munkholm <hjm@imada.sdu.dk>