Equal Value Characterislic of Perfect Characteristic Theory in Real Nunber Set
Zhi Gong · Journal of Xi'an United University · 1999
Mainly illustrate Cauchy's principle of convergence,suprem un and infim umprinciple,finitely covered prim iple,interval contraction principle,convergenee principle form onotone and bounded sequece, principle of the lim iting point. In different w ay, fromdifferent aspect,veflect the particutarity of real num ber- - perfect characteristil. Using Cauchy's principle of convevgence as on axiom ,testify that it is of equalvalue am ong thesesix theorem s.