Networks in Ponomarev-systems
نویسندگان
چکیده
Let (f, M, X,P) be a Ponomarev-system. We prove that f is a compact-covering mapping iff P is a strong k-network of X. Furthermore, f is a compact-covering, s-mapping iff P is a point-countable cfp-network (or pointcountable strong k-network) of X. As an application of these results, a pointcountable cover of a space is a strong k-network iff it is a cfp-network, where “point-countable” can not be omitted.
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