映射作用下仿紧与亚紧性质的一些探讨

Discuss with Some Properties of Paracompact and Matacompact under Mapping Action

文献中指出:设f:X→Y是空间X到空间Y上的完备映射,如果X1在X中Lindel f,则f(X1)在Y中Lindelf,如果Y1在Y中Lindelf,则f-1(Y1)在X中Lindelf.本文主要讨论了1-σ仿紧,2-σ仿紧,3-σ仿紧,α-仿紧,Aull-仿紧,强亚紧,亚紧,cp-仿紧,弱cp-仿紧,它们也有这样的性质.

Reference is implied： f： X→Y is the prefect mapping from space X to space Y, if X1 is Lindelof in X, then f（ X1 ） is lindelof in Y;if Y1 is lindelof, then f^-1（Y1） is lindelof in X. My article chiefly discussed that 1 - σ paracompact, 2 - σparacompact, 3-oparaeompaet,α- paraeompaet, Aull-paracompact, strongly matacompaet, mataeompaet, cp-paracompact, weakly cp - paracompact also have the properties.