A Tale of Two Cities: The Sheffield Project is the result of a year-long study commissioned by Mr Blunkett and carried out by Professor Danny Dorling and his colleagues at the University of Sheffield's Department of Human Geography.
You can download the full report here from the university's website.
The report notes the widening gaps within Sheffield, with residents in the Hallam constituency enjoying a better education, higher health outcomes, lower risk of being a victim of crime and even longer lives than those in the poorer areas, such as David's constituency of Sheffield Brightside.
The report expresses particular concern that the City Council's strategy of cutting money to the less well-off areas and instead distributing money to all areas of the city regardless of need, threatens to entrench inequality rather than narrow the gap.
Mr Blunkett said: "We have made the most enormous progress in the last decade, with huge investment in our schools, better health outcomes and social regeneration. The challenge now is to maintain that investment in people and communities and the raising of aspiration which has just started to gather pace ... not indulge in cutbacks which would undermine the motivation, morale and civic renewal which has been fundamental to our progress so far."
David also appeared on BBC Radio Sheffield this morning alongside one of the report's co-authors, Dr Bethan Thomas. You can listen again here until 9 November (skip forward to 1hr 40 mins in).