that is when heat is applied thereto then the connecting pieces 23 are spread outwardly thereby increasing their contracting forces to be applied onto the connecting and clamping pieces 24 therefore even if the insulating inner cover 13 contracts due to the heat the connection between the coaxial cable 11 and the connector 21 for a coaxial cable can be held positively for the above mentioned reason by the way fig5 shows one example for comparison with the connecting structure according to the present embodiment and in fig5 there is shown a structure in which two connecting pieces 23a are formed such that they extend substantially in parallel to each other in the comparison example since the leading end portions of the two connecting pieces 23a are not inclined inwardly the contact area of the connecting pieces 23a which are inserted along the periphery of the insulating inner cover 13 with the braided wire 14 is slightly smaller than the contact area obtained in the connecting structure according to the present embodiment also in the comparison example because a distance between the respective leading end portions of the connecting pieces 23a are substantially equal to the diameter of the insulating.