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Stability under supremum of sets of social choice function with single peaked preferences

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#game-theory #economics #supremum-and-infimum #voting-theory #social-choice-theory
46.6k
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Proof that $\inf A = -\sup(-A)$

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#real-analysis #proof-verification #supremum-and-infimum
1.3k
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Closest point property of subset of Hilbert space - what are the conditions for infimum to be finite?

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#functional-analysis #hilbert-spaces #supremum-and-infimum
144
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How to obtain the infimum of this inequalities?

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#complex-analysis #inequality #supremum-and-infimum
1.5k
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Lim inf of sum of functions

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#limits #limsup-and-liminf #probability-limit-theorems #supremum-and-infimum
188
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Troubles calculating a set infimum

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#real-analysis #supremum-and-infimum
4.8k
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Bounded above implies there exists a $\sup B$?

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#real-analysis #calculus #supremum-and-infimum
118
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I need to find the supremum of the set $S$

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#real-analysis #sequences-and-series #supremum-and-infimum
324
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Infimum of a set of a sequence of numbers

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#real-analysis #sequences-and-series #supremum-and-infimum
124
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Question about intervals and infima/suprema

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#analysis #proof-writing #supremum-and-infimum
23.1k
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How to prove $\inf(S)=-\sup(-S)$?

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#real-analysis #supremum-and-infimum
2.9k
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Let $X$ be a compact metric space. If $f:X\rightarrow \mathbb{R}$ is lower semi-continuous, then $f$ is bounded from below and attains its infimum.

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#sequences-and-series #analysis #continuity #compactness #supremum-and-infimum
230
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Question on the definition of infimum?

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#sequences-and-series #analysis #self-learning #supremum-and-infimum
808
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Find the minimum,maximum, infimum and supremum of sets?

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#sequences-and-series #optimization #limsup-and-liminf #supremum-and-infimum
1.3k
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Two part question about $\sup_y\inf_xf(x,y)\leqslant\inf_x\sup_yf(x,y)$

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#real-analysis #inequality #supremum-and-infimum

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