## On the fundamentals of analysis: six lectures delivered in February 1938 at the University of Calcutta |

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absolutely convergent admissible sets Alexandroff Algebra applied axioms Borel's lemma holds bounded set bounded subset bounded variation branch of mathematics Calcutta closed and bounded closed interval closed set collective property collective theorem common points connected considered contains a point continuous functions corresponds D-set defined definition direct sum distributive property distributive theorem double series e>0 there exists empty entities Euclidean space exists an integer finite number following theorem formula Geometry Hausdorff spaces infinite infinity of points intuitionist investigations join lectures Lim f(x limiting point Lindelof's lemma main theorems manner mathematicians method monotonic functions necessary and sufficient neighbourhood N(a number of open open intervals open set ordered set particular point of view problem Proof property im Kleinen proved real function real numbers real variable repartitive properties repartitive theorem sequence space H statement sufficient condition supposed supposition system of admissible tive topology uniform continuity uniform convergence upper limit values Weierstrass well-ordered set