P. Gartside         Strongly Arcwise Connected Continua

 A space X is n-weakly arcwise connected (n-wac) if for every n points in X there is an arc connecting them, while X is n-strongly arcwise connected (n-sac) if for every n points there is an arc in X visiting them in order.

We will discuss various characterizations of n-wac and n-sac in certain classes of continua. Then we will apply ideas from descriptive set theory to see how good these characterizations are...