On two problems of Harris concerning RC-proximities

P. L. Sharma, S. A. Naimpally
1972 Proceedings of the American Mathematical Society  
We give an example that settles the first and third problems posed recently by Douglas Harris [1]. The example shows that comparable /ÍC-proximities on an ^C-regular space need not give rise to comparable regular-closed embeddings, and that an /JC-regular space need not have a largest regular-closed embedding.
doi:10.1090/s0002-9939-1972-0292022-1 fatcat:l4j6mj3bzbcrngmkvimdwi23te