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Questions related from Dr. Anil Anant Pedgaonkar
The open mapping theorem is usually proved in most texts using Baires Category theorem which depends upon the axiom of choice. But if one studies differential calculus in Banach spaces say as in...
06 April 2019 7,773 3 View
Axiom of choice is debatable. it leads to pardoxes like well ordering theorem which is intuitively false. Inceasingly people working in fields like tructive analysis or compter science tend to...
18 October 2018 9,993 10 View
The non measurable set is formed by selecting one element from each equivalence class obtained by the relation x ~ y if x-y is rational. but we suggest we do not accept this form of axiom of...
18 October 2018 2,633 3 View
this is axiomatic set theory . these axioms are needed for set theory and not for mathematics. so can we avoid them since the involve use of predicate and property. will experts guide in detail....
01 October 2017 9,740 1 View
the question is clear and is axiomatic set theory question.the axiom of choice is innocent and true. but consequences like well ordering theorem or Banach Taraski paradox are debatable.. as the...
01 October 2017 9,770 0 View
set theory foundations question. basically blanket results are provede cmaximal ideals exist. in special cases ) Hahn Banach Theorem ( separable cases no axiom of choice needed )
01 October 2017 7,298 0 View
Is it possible to build a larger sigma algebra than caratheodory process will yield ( not in euclidean spaces) but in more general abstract setting?
11 October 2014 3,807 3 View
Lu method is the modification of Gauss elimination so as to do book keeping of row operations.( see book on Numerical methods by S.S Sastry PHI . It works in floating point t Gauss elimination...
15 September 2012 7,252 10 View
Dedekind cuts establish the set of real numbers. But like the well ordering theorem, the comparison of two arbitrary real numbers and linear ordering or law of trichotomy defies intuition. Of...
19 February 2012 3,965 7 View
