The new building will be on the same scale as the huge structure of iron and glass designed by Joseph Paxton for the 1851 Great Exhibition in Hyde Park. It was the largest glass structure in the world before it was destroyed by fire in 1936.
It was later relocated to south-east London to the area which became known as Crystal Palace.
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The capital's theatres also generate more searches than those in any other city, according to research by Google.
Union officials are expected to meet next week to plan further stoppages if talks fail to resolve the dispute.
Natalie Sharp and Christine Bicknell appeared in court over an alleged incident at a Lidl superstore in Wallington, south London.