The aim of this paper is to introduce and give preliminary investigation of ∂-partial-locally compact spaces. Locally compactness and ∂-partial-locally compactness are independent of each other. Every locally compact Hausdorff space is ∂-partial-locally compact. But the converse is not true even though it be Hausdorff. ∂-partial-locally compactness is a topological property. ∂-partial-locally compactness is not preserved by the product topology.
[1] N. Bourbaki, Elements of mathematics, Contents of the General topology, Springer Verlag, Chapters 1-4, Berlin, Heidelberg: Springer Berlin Heidelberg, 1995, 9-10
Alijani, A. (2023). On ∂-partial-locally compact space. Mathematics and Computational Sciences, 4(2), 21-24. https://doi.org/10.30511/mcs.2023.1989783.1109
MLA
Alijani, A. "On ∂-partial-locally compact space", Mathematics and Computational Sciences, 4, 2, 2023, 21-24. doi: 10.30511/mcs.2023.1989783.1109
HARVARD
Alijani A. (2023). 'On ∂-partial-locally compact space', Mathematics and Computational Sciences, 4(2), pp. 21-24. doi: 10.30511/mcs.2023.1989783.1109
CHICAGO
A. Alijani, "On ∂-partial-locally compact space," Mathematics and Computational Sciences, 4 2 (2023): 21-24, doi: 10.30511/mcs.2023.1989783.1109
VANCOUVER
Alijani A. On ∂-partial-locally compact space. MCS. 2023;4(2):21-24. doi: 10.30511/mcs.2023.1989783.1109