gama

I am a student ,pleas could you hlep me.I need

(1)proof of this problem:if X is a countably compact space cleavable over the class of Hausdorff compact sequential spaces ,then X is compact.

(2) the product of two cleavable spaces is cleavable or no?give example

(3)Let X ={a,b,c}, T={X,Q,{a}.{b,c}},Y={p,q,r}, T'={Y,Q,{p},{q,r}}be regular spaces ,How I can define surjective continuous function ( open or closed)between them?

By the same way give examples if X and Y toghter are

(1) T0 , (2) T1 ,(3) T2 ,(4) normal ,(5) compact ,

(6) connected (spaces)

BEST REGARDS

PLEASE SEND THE RESPOND BY EMAIL :jagama21@yahoo.com

(1)proof of this problem:if X is a countably compact space cleavable over the class of Hausdorff compact sequential spaces ,then X is compact.

(2) the product of two cleavable spaces is cleavable or no?give example

(3)Let X ={a,b,c}, T={X,Q,{a}.{b,c}},Y={p,q,r}, T'={Y,Q,{p},{q,r}}be regular spaces ,How I can define surjective continuous function ( open or closed)between them?

By the same way give examples if X and Y toghter are

(1) T0 , (2) T1 ,(3) T2 ,(4) normal ,(5) compact ,

(6) connected (spaces)

BEST REGARDS

PLEASE SEND THE RESPOND BY EMAIL :jagama21@yahoo.com