Introduction to Topology
... closed set, by Theorem 17.8, because Y is compact by (3)) and so U is open in Y 0 . Second, suppose p ∈ U. Since C = Y \ U is closed in Y , then C is a compact subspace of Y , by Theorem 26.2, since Y is compact by (3). Since C ⊂ X , C is also compact in X . Since X ⊂ Y 0 , the space C is also a com ...
... closed set, by Theorem 17.8, because Y is compact by (3)) and so U is open in Y 0 . Second, suppose p ∈ U. Since C = Y \ U is closed in Y , then C is a compact subspace of Y , by Theorem 26.2, since Y is compact by (3). Since C ⊂ X , C is also compact in X . Since X ⊂ Y 0 , the space C is also a com ...
COUNTABLY S-CLOSED SPACES ∗
... class of S-closed spaces and the class of feebly compact spaces. In Section 3 we further explore the relationship between countably S-closed spaces and feebly compact spaces. In particular, the concept of km-perfect spaces is introduced. Finally, in Section 4 we present several examples to illustra ...
... class of S-closed spaces and the class of feebly compact spaces. In Section 3 we further explore the relationship between countably S-closed spaces and feebly compact spaces. In particular, the concept of km-perfect spaces is introduced. Finally, in Section 4 we present several examples to illustra ...
MM Bonsangue 07-10-1996
... the world, always in search of di erent sights. I gratefully acknowledge the nancial assistance received from the Vrije Universiteit Amsterdam, the Netherlands Organization for Scienti c Research (NWO), Shell Nederland B.V., the NATO Advanced Study Institute, the Dutch project `Research and Educati ...
... the world, always in search of di erent sights. I gratefully acknowledge the nancial assistance received from the Vrije Universiteit Amsterdam, the Netherlands Organization for Scienti c Research (NWO), Shell Nederland B.V., the NATO Advanced Study Institute, the Dutch project `Research and Educati ...
