The Journal of the Indian Mathematical Society

V. S. Krishnan ¹

Affiliations
1 University of Madras, Madras 5, IN

Abstract

The first part of the paper [6] dealt with relations between structure theorems of various types for d-structures, that is commutative (additive) demi-groups with zero element with a superposed structure (order-based, topological or uniform structure usually) when the composite structure satisfies certain axioms regarding a type of mapping called d-homomorphism.

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V. S. Krishnan ¹

Affiliations
1 Presidency College, Madras, IN

Abstract

The partially oredered set

DEF. An abstract set, L, is a partially ordered set, (or orderedset), if there is an associated binary relation " < ", (read "less than"), connecting some pairs of elements of L, which is further reflexive and transitive [that is : a < a for all a of L; and a < b, b < c imply a < c for all a, b, c from L].

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V. S. Krishnan ¹

Affiliations
1 Presidency College, Madras, IN

Abstract

The completely regular spaces form a link between the abstract topological spaces and the Euclidean or metrical spaces, Tychonoff defines such spaces as those which admit a characteristic functional for each pair of subsets, of which one consists of a single point and the other is a closed set not containing the point.

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