By Bentz W.
It's a recognized bring about the examine of topological teams that any T0-topological staff is additionally normal and satisfies the more advantageous separation axiom T3. an analogous holds for topological quasi-groups. within the zone of common algebra, the single outcome on T3 is a detrimental one as a result of Coleman, exhibiting that congruence permutability isn't powerful sufficient to strength the implication T0=>T3 to be legitimate for the topological algebras of a variety.In this paper, we are going to offer comparable damaging effects for a wide type of types. in this case, we will be able to finish that if the implication T0=>T3 holds in a non-trivial kind V , every one defining set of equations for V needs to comprise at the least one equation with an example of a funtion image within the place of an issue to a different such example.
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Extra info for A characterization of T3 separation for a special class of varieties
III, 652, erroneously dated ca. 57; cf. , 1885, p. 207, No. 1; Graindor, Al/bumzd'fJnscrlthions A/fitqucs d'Epoque ZImprir,ltc,20, No. 15; I. G. III, 872; Ch-ronollogicdes Arc/honfls A4f/hejliles sous /'Empire,tl76). There are reasons, moreover, why neither inscription can be dated in the reign of Nero. Assuming for the purpose of argument that Turcianus was proconsul in 62/3, the last possible year in the reign of Nero, or in 57/8, the only other alternative, we must assume that he was lquaesor I;zp.
60 Line 1: In the erasure the first letter began with a vertical stroke. Domitiani is a possibility. Line 3: A vertical stroke before the first N may be either an I or the stroke of another N. For another inscription which mentions service in a legiogemina, see No. 59. 44 CORINTH 61. A fragment of white marble revetment found May 22, 1910, in an extension of Trench XXXIV north of the Theatre. Inv. No. 510. 017 m. ; thickness m. high. '1 FETIALThe first letter resembles either T or I. 62. A fragment of white marble revetment found April 23, 1908, in the late Roman steps north of St.
065 m. high. 04 m. 035 m. high. Line 3: Possibly [trib. nzmileg. , r. [a]lae. vz. Legio XII Fulminata, 1708) for two members of the family served in it as military tribunes. One of them, Paulinus, was probably the brother of Julianus. After the year 70 A. D. the legion was stationed in Cappadocia, not far from the Anatolian home of the Caristanii. The name of the ala (line 4) is illegible. et pf[eregri]nos et in[ter] per[egr]inos 36 CORINTH (cf. Dessau, 11 74). Here and in our tentative restoration of line 3, dots beneatli letters which are not printed in the transcript show that the cuttings which can still be seen fit the letters proposed.