In this work, 2-absorbing
-filters on a topological space
are defined and their general properties are examined. Moreover, the convergence of 2-absorbing
-filters is studied. A correspondence between 2-absorbing
-ideals of the ring
of all real-valued continuous functions on
Key Words: Ring of continuous functions, -filters, 2-absorbing -filters.
2010 Mathematics Subject Classification: Primary 54C35. Secondary 54C99.
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