Topology with Monoidal Control, by René dePont Christensen and Hans Jørgen 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.

• 0548.bib (258 bytes)
• MonoidalControlPaper.dvi (117044 bytes) [February 11, 2002]
• MonoidalControlPaper.dvi.gz (48448 bytes)
• MonoidalControlPaper.pdf (215514 bytes)
• MonoidalControlPaper.ps.gz (201926 bytes)