Mathematics
3 years ago

New selection principles revolutionize understanding of hit-and-miss topology properties.

Topology and its Applications
Star and strong star-type versions of Rothberger and Menger principles for hit-and-miss topology
Ricardo Cruz-Castillo, Alejandro Ramírez-Páramo, Jesús F. Tenorio

Paper Summary

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The article introduces new selection principles based on star and strong star Rothberger and Menger principles. The researchers use specific families of covers and dense subsets in spaces to characterize these properties. They prove theorems to show how these principles can be identified in spaces. The study also establishes connections between the different selection principles introduced.