query: Image of a Borel set under monotonic functions
positive_passages.docid: 24749
positive_passages.text: Monotone functions and Borel sets
negative_passages.docid: 63701
negative_passages.text: An example of a regular function over an open set
negative_passages.docid: 99236
negative_passages.text: Interior of closure of an open set
negative_passages.docid: 89787
negative_passages.text: Borel-Cantelli lemma problem
negative_passages.docid: 48764
negative_passages.text: Increasing real valued function whose image set is connected
negative_passages.docid: 15487
negative_passages.text: Continuous function from a connected set?
negative_passages.docid: 28315
negative_passages.text: Monotone functions and non-vanishing of derivative
negative_passages.docid: 132382
negative_passages.text: Showing a set is nowhere dense in $C([0,1])$
negative_passages.docid: 51995
negative_passages.text: Probability of $\limsup$ of a sequence of sets (Borel-Cantelli lemma)
negative_passages.docid: 107772
negative_passages.text: Separability of functions with compact support
negative_passages.docid: 95373
negative_passages.text: Additive set function on a semiring of sets
negative_passages.docid: 113614
negative_passages.text: Approximating the density of $S\cap[a,b]$ using a Folner Sequence of $A$, where $S \subseteq A$?
negative_passages.docid: 3896
negative_passages.text: A closed set in $(A, \mathcal T_A)$ that is not closed in $(X, \mathcal T)$
negative_passages.docid: 60306
negative_passages.text: Natural class of functions whose $\mathcal O$-sets are linearly ordered
negative_passages.docid: 130156
negative_passages.text: Image of the union and intersection of sets.
negative_passages.docid: 84394
negative_passages.text: Choice function for a collection of nonempty subsets of $\{0,1\}^\omega$
negative_passages.docid: 126698
negative_passages.text: measurability of a function -equivalent conditions