Her latest collection, "Dwelling: in this space we breathe", a series of photographs exploring traditional Gambian spiritual practices, was on display at the 57th Venice Bienniale.
"Tony leaves behind a large family, his wife, sons and grandchildren, including one grandchild he will never get to meet".
Five people who had been reported missing after the disaster have been found safe and well, he added.
Each household that has lost their home will receive at least £500 in cash and £5,000 paid into an account.
The tower, built by local authority, the Royal Borough of Kensington and Chelsea (RBKC) in 1974, is run by the Kensington and Chelsea Tenants' Management Organization (KCTMO) on behalf of RBKC.
May's Friday afternoon visit was also carried out in private, and when it was finished, police had to clear a passage for her to leave a building as an angry crowd of survivors and protesters gathered outside.More news: Ronaldo set for July court date in tax fraud case
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Eleanor Kelly, chief executive of Southwark Council, on behalf of the newly established Grenfell Fire Response Team, said: "We want to make clear that whilst the emergency and local community response was nothing short of heroic, we know that the initial response was simply not good enough on the ground".
He said the atrocity followed "years of neglect from the council and successive governments".
"I am urging any families or individuals who have been affected and who have not come forward, for whatever reason, to please come to the Westway Centre so that we can help".
William was overheard describing the charred remains of the apartment block as "one of the most bad things I have ever seen", while the Queen appeared stoic as she was briefed on the recovery effort. Suspicions have grown that flammable materials were used to clad the building and accelerated the spread of the fire. Referring to the Grenfell tower and its sinister burned facade, the paper estimated that this "fall in the sky will forever be Theresa May's monument".
"The key question now is whether the overall design of the building's complete exterior was properly tested and subsequently signed off by the relevant authorities including the fire officer, building compliance officer and architect before commencement of the project".
Ms Cotton added that it might be "some days yet" before firefighters could say they have reached everyone in the building.
"Until we do that, we can not look at anything other than staying with the same advice, which has kept people safe in their buildings".