@article{701822,
     title = {Inverse limits need not exist in the category of compact spaces and Feller kernels: a counterexample},
     booktitle = {Proceedings of the 12th Winter School on Abstract Analysis},
     series = {GDML\_Books},
     publisher = {Circolo Matematico di Palermo},
     address = {Palermo},
     year = {1984},
     pages = {[155]-159},
     mrnumber = {MR0781947},
     zbl = {0585.46062},
     url = {http://dml.mathdoc.fr/item/701822}
}

Winkler, Gerhard. Inverse limits need not exist in the category of compact spaces and Feller kernels: a counterexample, dans Proceedings of the 12th Winter School on Abstract Analysis, GDML_Books,  (1984), pp. [155]-159. http://gdmltest.u-ga.fr/item/701822/