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A topological space X$ has the Frechet-Urysohn property if for each subset Aof X and each element x in the closure of A, there exists a countable sequenceof elements of A which converges to x. Reznichenko introduced a naturalgeneralization of this property, where the converging sequence of elements isreplaced by a sequence of disjoint finite sets which eventually intersect allneighborhoods of x. In their paper, Kocinac and Scheepers conjecture that theminimal cardinality of a set X of real numbers such that C_p(X) does not havethe weak Frechet-Urysohn property is equal to b. (b is the minimal cardinalityof an unbounded family in the Baire space).  We prove the Kocinac-Scheepers conjecture by showing that if C_p(X) has theReznichenko property, then a continuous image of X cannot be a subbase for anon-feeble filter on the natural numbers.Comment: Small update

The minimal cardinality where the Reznichenko property fails