JI Guang-yue
Abstract
The notion of base-mesocompact mapping is introduced and the following results are proved:①Let f:X→Y be a closed Lindeloff mapping.If X is regular,then f:X→Y is base-countable mesocompact mapping;② Let X and Y be both base-mesocompact.X×Y is base-countable mesocompact if Y is locally compact.
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
The notion of base-mesocompact mapping is introduced and the following results are proved:①Let f:X→Y be a closed Lindeloff mapping.If X is regular,then f:X→Y is base-countable mesocompact mapping;② Let X and Y be both base-mesocompact.X×Y is base-countable mesocompact if Y is locally compact.
Key concepts: Base (topology), Countable set, Mathematics, Product (mathematics), Property (philosophy), Combinatorics, Discrete mathematics, Geometry