Go-spaces and Generalizations of Metrizability |
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... lexicographic product of two linearly ordered topological spaces is a p - space or an M - space re- spectively , making use of the results of the second chapter . In chapter IV we tackle the harder problem of characterizing generalized ...
... lexicographic product of two linearly ordered topological spaces is a p - space or an M - space re- spectively , making use of the results of the second chapter . In chapter IV we tackle the harder problem of characterizing generalized ...
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J. M. van Wouwe. CHAPTER III LEXICOGRAPHIC PRODUCTS Whenever X = ( X ,,, ( , ) and Y = ( Y , ≤2 , ( ≤2 ) ) are LOTS's then by the lexicographic product of X and Y we mean the LOTS ( X , Y , ≤ , λ ( ≤ ) ) , where X. Y is the cartesian ...
J. M. van Wouwe. CHAPTER III LEXICOGRAPHIC PRODUCTS Whenever X = ( X ,,, ( , ) and Y = ( Y , ≤2 , ( ≤2 ) ) are LOTS's then by the lexicographic product of X and Y we mean the LOTS ( X , Y , ≤ , λ ( ≤ ) ) , where X. Y is the cartesian ...
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... lexicographic product . To be able to do this , we first define what we mean with the lexicographic product of a LOTS and a GO - space : If ( X ,,, ( ) ) is a LOTS , and ( Y , 2 , T ) is a GO - space then 1 Y is homeomorphic with the ...
... lexicographic product . To be able to do this , we first define what we mean with the lexicographic product of a LOTS and a GO - space : If ( X ,,, ( ) ) is a LOTS , and ( Y , 2 , T ) is a GO - space then 1 Y is homeomorphic with the ...
Common terms and phrases
ALGOL 60 analogous belongs choose Clearly closed image closed mapping closed sets cofinal coinitial collectionwise normal Consequently consists of convex contained converges convex open neighbourhood convex sets COROLLARY countably compact define denoted discrete E-network E-space elements of F(n endgap finite-to-one follows G-diagonal GO-space hence hereditarily homeomorphic implies interior gaps ISBN 90 left endpoint left neighbour left right left-isolated lemma let f Let U(n Lindelöf linearly ordered set locally finite LOTS LOTS's LUTZER M-space Math metrizable space Moore space mX is metrizable n₁ Nagata space natural number o-discrete o-l-discrete open covers open image open mapping open set order preserving order topology ordered spaces paracompact p-space paracompact spaces PROOF properties prove pseudo-)gap pseudogap Q-(pseudo quasi-perfect map quotient space right endpoint right-isolated semi-metrizable sequence of open sequence x(n Sorgenfrey line subspace suppose surjection topological space y e cX МСТ