A C172 PLT ENTERS CLASS B AIRSPACE WITHOUT HEARING THE CLRNC; 'CLRED INTO CLASS B AIRSPACE.'

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AT APPROX XA00 PM ON JUL/SUN/01 I WAS CRUISING AT 1000 MSL SBOUND IN THE CLASS B EXCLUSION OVER THE HUDSON; RIVER BTWN MANHATTAN AND NEW JERSEY. JUST S OF GOVERNORS ISLAND I CONTACTED LGA TWR AND ASKED PERMISSION TO TRANSIT THE E RIVER TO ROOSEVELT ISLAND; THEN W OVER CENTRAL PARK. THE CTLR REPLIED WITH INSTRUCTIONS THAT WERE NOT FULLY INTELLIGIBLE; DUE TO POOR RADIO IN THE RENTAL ACFT. I RECALL HEARING THE WORDS 'PROCEED' AND WHAT I THOUGHT WAS 'ROOSEVELT ISLAND'. I WAS ALSO GIVEN A SQUAWK; WHICH I COULD NOT HEAR AND HAD TO ASK TO BE REPEATED. I WAS GIVEN THE SQUAWK CODE AGAIN; CONFIRMED IT; AND ALSO ASKED FOR AN ALT. I WAS TOLD TO CLB TO 1500 FT; WHICH IS INSIDE THE CLASS B. I PROCEEDED N OVER THE E RIVER AT 1500 FT MSL. I RECEIVED AND ACKNOWLEDGED 2 TFC CALLS FORM LGA. AT THE NORTHERN END OF ROOSEVELT ISLAND; I ASKED FOR A TURN TO THE W; WHICH WAS APPROVED. AT THIS POINT I RECEIVED A THIRD TFC CALL; WHICH I ACKNOWLEDGED AND RPTED IN SIGHT. AS I APCHED THE WESTERN EDGE OF MANHATTAN; I ASKED TO DSND INTO THE CLASS B EXCLUSION TO RESUME NBOUND FLT OVER THE HUDSON RIVER. THE LGA CTLR APPROVED MY REQUEST; INSTRUCTED ME TO SQUAWK VFR AND STATED THAT RADAR SERVICE WAS BEING TERMINATED. I CARRIED 1 PAX WHO WAS A 900 PLUS HOUR PVT PLT; BUT WHO HAD NEVER FLOWN IN THE NEW YORK AREA BEFORE. AFTER THE FLT; HE MENTIONED THAT HE WAS NOT SURE WE HAD RECEIVED PROPER CLRNC TO ENTER THE CLASS B. I BELIEVED THAT INSTRUCTIONS TO PROCEED TO A PT (IN THIS CASE; ROOSEVELT ISLAND AND CENTRAL PARK) OR AN ALT (IN THIS CASE; 1500 FT MSL) WITHIN THE CLASS B CONSTITUTED CLRNC. I WAS ADVISED BY A TECHNICAL ADVISOR THAT A PROPER CLRNC IN THIS CASE SHOULD HAVE INCLUDED 'CLRED INTO CLASS B' OR WORDS TO THAT EFFECT. EITHER THE CTLR DID NOT SAY THAT; OR I DID NOT HEAR IT AND DID NOT ASK FOR CONFIRMATION.