More than 100,000 Britons have signed an online petition to ban U.S. Republican presidential front-runner Donald Trump from the country following his proposal to ban Muslims from entering the United States.

Trump, who owns two golf courses in Scotland which he visited earlier this year, called for a complete shutdown of Muslims entering the United States "until our country's representatives can figure out what is going on," following last week's deadly shooting spree in California by two Muslims.

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"The UK has banned entry to many individuals for hate speech," the text of the British petition said.

"If the United Kingdom is to continue applying the 'unacceptable behavior' criteria to those who wish to enter its borders, it must be fairly applied to the rich as well as poor, and the weak as well as powerful."

Britain's interior ministry has the power to ban people from entering the country if they have engaged in what the government determines to be unacceptable behavior. In the past, people have been banned for fostering hatred that might provoke inter-community violence.

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Asked by reporters on Wednesday whether she would consider banning Trump, Home Secretary Theresa May merely said it was important for politicians to ensure "cohesion among communities rather than division".

The petition was launched by Suzanne Kelly, a Scottish-based campaigner and longtime critic of Trump's latest golf course in Aberdeenshire.

By midday Wednesday, it had attracted over 100,000 signatures, a number which was rising quickly.

The government responds to all petitions that gain more than 10,000 signatures, and the topic will be considered for a parliamentary debate if it reaches 100,000 signatures.

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British politicians generally avoid commenting on the political affairs of other countries but on Tuesday a spokeswoman for Prime Minister David Cameron said Cameron thought Trump's comments were "divisive, unhelpful and quite simply wrong".