Geodesic
Products and Cardinal Invariants of Minimal Topological Groups
Canadian mathematical bulletin, Tome 29 (1986) no. 1, pp. 44-49

Voir la notice de l'article provenant de la source Cambridge University Press

It is a question of Arhangel'skiĭ [1] (Problem 2) whether the identity ψ(G) = X(G) holds for every minimal Hausdorff topological group G = 〈G,u〉). (Here, as usual, ψ(G), the pseudocharacter of G, is the least cardinal number K for which there is such that and and x(G), the character of G,is the least cardinality of a local base at e for (〈G,u〉.) That 〈G, u〉 is minimal means that, if v is a Hausdorff topological group topology for G and v ⊂ u, then v = u.In this paper, we give some conditions on G sufficient to ensure a positive response to Arhangel'skiï's question, and we offer an example which responds negatively to a question on minimal groups posed some years ago (cf. [6] (p. 107) and [4] (p. 259)).
DOI : 10.4153/CMB-1986-008-x
Mots-clés : Primary 54A25, 54D25, Secondary 22A05, 54A10 
Grant, Douglass L.; Comfort, W. W. Products and Cardinal Invariants of Minimal Topological Groups. Canadian mathematical bulletin, Tome 29 (1986) no. 1, pp. 44-49. doi: 10.4153/CMB-1986-008-x
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