On Topological Spaces Equivalent to Ordinals
Flum, Jorg ; Martinez, Juan Carlos
J. Symbolic Logic, Tome 53 (1988) no. 1, p. 785-795 / Harvested from Project Euclid
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Let $L$ be one of the topological languages $L_t, (L_{\infty\omega})_t$ and $(L_{\kappa\omega})_t$. We characterize the topological spaces which are models of the $L$-theory of the class of ordinals equipped with the order topology. The results show that the role played in classical model theory by the property of being well-ordered is taken over in the topological context by the property of being locally compact and scattered.
Publié le : 1988-09-14
Classification:  
@article{1183742719,
     author = {Flum, Jorg and Martinez, Juan Carlos},
     title = {On Topological Spaces Equivalent to Ordinals},
     journal = {J. Symbolic Logic},
     volume = {53},
     number = {1},
     year = {1988},
     pages = { 785-795},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183742719}
}

Flum, Jorg; Martinez, Juan Carlos. On Topological Spaces Equivalent to Ordinals. J. Symbolic Logic, Tome 53 (1988) no. 1, pp.  785-795. http://gdmltest.u-ga.fr/item/1183742719/