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Tony Blair said the celebrations of Baroness Thatcher's death were in "poor taste".
Speaking to BBC Radio Ulster, he said: "Even if you disagree with someone very strongly, you can still particularly at the moment of their passing, you should show some respect."
Mr Blair was asked if he worried there would be similar celebrations when he dies.
He replied: "When you decide, you divide. I think she would be pretty philosophical about it and I hope I will be too."
Read: Margaret Thatcher's legacy.
Read: Thatcher funeral next Weds.
The former culture secretary Tessa Jowell, who is MP for the neighbouring constituency of Dulwich, has condemned the anti-Thatcher celebrations in Brixton and elsewhere in the UK as "disrepectful":
In Brixton, demonstrators have gathered to 'celebrate' Baroness Thatcher's death and the lettering of the Ritzy Cinema has been rearranged to say "Margret Thatchers dead".
The south London district was the scene of fierce rioting during the Thatcher years blamed on deep social divisions, racial tensions and unemployment.
In the aftermath of the 1981 Brixton riots, the prime minister was criticised for what some saw as a lack of understanding or denial of the causes of the disturbance, after comments such as:
"Nothing, but nothing, justifies what happened.
"Money cannot buy either trust or racial harmony."
This amateur footage of people celebrating Baroness Thatcher's death in Brixton has been uploaded to YouTube