Conversation so far:
What is one-to-one correspondence?
He then began looking for a 1-to-1 correspondence between the points of the unit square and the points of a unit line segment.
What year was he doing his work on this?
In 1878, Cantor submitted another paper to Crelle's Journal, in which he defined precisely the concept of a 1-to-1 correspondence.
What is Crelle's Journal?
CANNOTANSWER.

Question: How was his paper accepted?
Self-contained rewrite: How was Georg Cantor's paper accepted?