Geodesic
Modifications of the double arrow space and related Banach spaces $C(K)$
Witold Marciszewski 1
1 Institute of Mathematics University of Warsaw Banacha 2 02-097 Warszawa, Poland
Studia Mathematica, Tome 184 (2008) no. 3, pp. 249-262 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We consider the class of compact spaces $K_A$ which are modifications of the well known double arrow space. The space $K_A$ is obtained from a closed subset $K$ of the unit interval $[0,1]$ by “splitting” points from a subset $A\subset K$. The class of all such spaces coincides with the class of separable linearly ordered compact spaces. We prove some results on the topological classification of $K_A$ spaces and on the isomorphic classification of the Banach spaces $C(K_A)$.
DOI : 10.4064/sm184-3-4
Keywords: consider class compact spaces which modifications known double arrow space space obtained closed subset unit interval splitting points subset subset class spaces coincides class separable linearly ordered compact spaces prove results topological classification spaces isomorphic classification banach spaces

Witold Marciszewski  1

1 Institute of Mathematics University of Warsaw Banacha 2 02-097 Warszawa, Poland 
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 related Banach spaces $C(K)$
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Witold Marciszewski. Modifications of the double arrow space and
 related Banach spaces $C(K)$. Studia Mathematica, Tome 184 (2008) no. 3, pp. 249-262. doi: 10.4064/sm184-3-4

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