A catheter is provided that has a basket-shaped electrode assembly with an improved mechanism for expanding and contracting the electrode array. The expansion mechanism is designed to permit reproducible reintroduction of the catheter into the heart. The catheter comprises an elongated catheter body having at least one lumen therethrough. A basket-shaped electrode assembly is mounted at the distal end of the catheter body. The basket assembly comprises a plurality of spines connected at their proximal and distal ends, each of which comprises at least one electrode. The basket assembly has an expanded arrangement wherein the spines bow radially outwardly and a collapsed arrangement wherein the spines are arranged generally along the axis of the catheter body. An expander is attached at or near its distal end to the distal ends of the spines and extends through the catheter body. The expander has a proximal end that extends out the proximal end of the catheter body a lumen extending therethrough. In use, the expander can be moved longitudinally relative to the catheter body to expand and contract the basket-shaped electrode assembly. The lumen that extends through the expander permits the catheter to be introduced into the heart over a guidewire. If the catheter is removed and subsequently reintroduced over the guidewire, the basket-shaped electrode assembly can be easily reintroduced to its original position.