May said 100 tower blocks a day are being inspected, with results coming back "within hours".
The government said it had obtained dozens of newly built apartments in a west London development, a first step towards fulfilling a pledge to rehouse residents of Grenfell Tower which was gutted in a deadly fire.
"At least 79 people are dead - it is both a tragedy and an outrage because every single one of those deaths could and should have been avoided".
Nicholas Holgate said the Communities and Local Government Secretary Sajid Javid had "required the leader of the council to seek my resignation".
"Our priority is to get everyone who has lost their home permanently re-housed locally as soon as possible, so that they can begin to rebuild their lives", he said.
They demand urgent compensation for residents, their immediate rehousing in the community, immediate action to ensure the maximum safety standards of social and council housing nationwide, and a fully independent public inquiry where Grenfell residents and those directly affected are "core participants".
Grenfell Tower had a mixture of owners, renters and subtenants, and a tenant activist group, the Radical Housing Network, said on Wednesday that it was awaiting details of who would be eligible to live in the new homes.
"No stone will be left unturned in this inquiry and for any guilty parties there will be no places to hide", she said.
"The coroner, in 2013, on Lakanal House, said that those deaths were avoidable, that there should have been sprinklers, that there should have been changes in the fire instructions, that there should be greater supervision of contract and fire instruction".
Men can't wear shorts to work, so they're wearing skirts
In 2013, bus drivers in Marseille were set to strike over uniform pants that drivers claimed were too tight and restrictive. The bare-legged protest comes after United Kingdom call center worker Joey Barge was sent home for wearing shorts.
The chief executive of Kensington and Chelsea council has resigned amid a tide of criticism over how it responded to the Grenfell Tower fire tragedy.
"Support on the ground for families in the initial hours was not good enough", she said. We will be working with other fire testing laboratories around the United Kingdom to ensure that together we can most efficiently meet demands for this testing in case demand is high.
In a statement, he said that Mr Javid had asked him to go, adding that his continued presence would be a "distraction" - DCLG denies this.
London's King's College Hospital confirmed to Sky News UK that three of the 12 patients it received from the fire were treated with the hydrogen cyanide antidote Cyanokit.
Three years ago, Lacrosse Building in Docklands, Melbourne, caught fire after a cigarette ignited cladding similar to that used on Grenfell Tower.
Flammable panelling on the outside of Grenfell Tower is suspected to have aided the rapid spread of last week's blaze, trapping dozens inside.
Richard Hull, professor of chemistry and fire science at the University of Central Lancashire, told Sky News that the gas produced by the insulation when it burned may have been deadly.
Tower blocks across the United Kingdom are being examined after the London blaze, which left 79 people dead or missing, presumed dead. Five of them are in critical care.
Comments