Geodesic
R1-Topological Spaces1
Canadian mathematical bulletin, Tome 9 (1966) no. 4, pp. 521-523

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

In his paper ′′Indexed systems of neighborhoods for general topological spaces′′ (Amer. Math. Monthly 68, (1961), 886–893), A.S. Davis defined a hierarchy of what he called regularity axioms. The R1 -axiom is independent of both T0 and T1, but is strictly weaker than T2. In this note, we propose to study the properties of the spaces satisfying the R1 -axiom. In particular, we will show that in many well-known results, the hypothesis can be weakened from T2 to R1, which is part of our motivation in studying R1 -spaces. 
Murdeshwar, M.G.; Naimpally, S.A. R1-Topological Spaces1. Canadian mathematical bulletin, Tome 9 (1966) no. 4, pp. 521-523. doi: 10.4153/CMB-1966-065-4
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[1] 1 Research partially supported by the Summer Research Institute of the Canadian Mathematical Congress.

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