Geodesic
A Note on Certain Subalgebras of C()
Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 389-393

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Let be a completely regular Hausdorff space and C() the algebra of continuous real-valued functions on . In attempts to characterize abstractly those algebras that are isomorphic to C() for some , one produces subalgebras of C() which: (a) contain the constant functions, (b) separate points and closed sets in , (c) are closed under uniform convergence, and (d) are closed under inversion in C() (see, for example, (2; 5)). 
Hager, Anthony W.; Johnson, Donald G. A Note on Certain Subalgebras of C(). Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 389-393. doi: 10.4153/CJM-1968-035-4
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