"public viewing" is quite a general term that could apply in a variety of situations where members of the public are viewing something. The "presentation of a dead body" meaning is one specific possibility that wouldn't particularly come to my mind unless the surrounding context suggested it. "public viewing" can be both countable and uncountable, and there is a slight difference in usage between the two.
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geoyoCould you please give an example sentence with the uncountable noun?Here is an example sentence randomly copied from Google search results, showing how uncountable "public viewing" can be used in your context:
geoyoCould it be that "viewing" is more closely connected to viewing of a dead body in AmE? My dictionary lists this specific meaning as AmE. Maybe "public viewing" only sounds odd to a speaker of AmE?I'm not sure; hopefully an AmE speaker here will comment. However, a quick Google search seems to show that the term "a public viewing" is used in the US
geoyoSo could you omit the a and say "there is public viewing on central square"?Potentially yes. However, in reality this is not so very likely. Someone might just say "there's a big screen in central square" (I would say "in central square").
GPYhopefully an AmE speaker here will comment.When I saw the title of the post, the first thing I thought of was a funeral parlor, as they are sometimes called here.