There was a typo present. It's not emergence, but "emergency". It's basically a string you pull in order to be connected to the responsible person(s) in case of an emergency.

An "emergency cord" in a train stops the train.
See:
http://www.macmillandictionary.com/us/dictionary/american/em...
http://www.oxforddictionaries.com/definition/english/emergen...

Combining it with "Blantyre" gives you the following:
"The flat has a Careline emergency cord in all rooms linked to the resident manager and direct to Careline out of hours for peace of mind."
http://pdf.your-move.co.uk/propimg/579/pdf/527310928.pdf

See also:
"Mr Boyes, 34, says his mother pulled the emergency cord, which connects residents to a Careline Centre, in Bradford, after falling out of bed at her council-owned flat last Monday."
http://www.bournemouthecho.co.uk/news/8054298.print/

"Angry Jackie Thomas said her diabetic mum Margaret Crofts, 72, could not raise the alarm after a fall because her emergency cord stopped working on January 6."
http://www.thefreelibrary.com/Broken emergency cord 'put lif...

Above we're talking about older people who need immediate assistance in case of emergencies.

It's also used as an "emergency red cord" for bathrooms:
http://www.charity-pr.co.uk/let-the-red-cord-reach-the-floor...

And even some hotel rooms might have it:
http://www.hihaydockm6j23hotel.co.uk/bedrooms/accessible-roo...

Another description:
"While in the toilet Sam was just washing her hands when she felt so dizzy and sick that she just sat on the floor, and reached for the emergency cord. The nurses responded immediately and they put her back to bed, asking her to call the next time that she needs the toilet, so that they can help her. They don’t want to be picking her up from a fall."
http://www.theleukemiaconclusion.co.uk/the-emergency-cord/

It means that the cord is used in situations in which every second counts and the person in need of assistance may not be able to just pick up the phone and call someone. This especially applies to older people and people with disabilities.

And to answer your follow-up question: As you can see above, it does call the relevant department, so someone can come to see what's wrong. The CAS means Careline Services. See: http://www.ageuk.org.uk/brandpartnerglobal/norfolkvpp/docume...




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Note added at 38 mins (2014-07-24 11:48:30 GMT)
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You will find one of the PDFs for Careline services attached:

http://www.peoplefirstinfo.org.uk/media/647408/careline_leaf...

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Note added at 57 mins (2014-07-24 12:07:06 GMT)
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As Charles correctly pointed out, CAS means Community Alarm Service; my suggestion in response to your second question was more of a guess. My link is still valid, though. Excerpt:

"Telecare 24 Community Alarms – Healthcare Professional Referral
Scheme: Telecare provides Careline monitoring services and alarm pendants with 24/7 monitoring to elderly and infirm customers across the UK for clients of Healthcare Professionals and Social Services."
http://www.ageuk.org.uk/brandpartnerglobal/norfolkvpp/docume...

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Note added at 4 hrs (2014-07-24 15:12:22 GMT)
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Here also the explanation why I first thought of Careline for CAS: both seem intertwined.

http://www.careline-cs.org.uk/
http://www.leics.gov.uk/es/service.htm?initial=A&pid=313
http://www.southampton.gov.uk/living/adult-care/Help_and_sup...

By the way, there is also another way to integrate Careline services:
"As part of the system you are given a personal mobile button, which can be worn as a necklace or a wrist strap."