LEADER 04575nam 22006855 450 001 996309082103316 005 20230809225533.0 024 7 $a10.1515/9783110550832 035 $a(CKB)3800000000216575 035 $a(DE-B1597)482663 035 $a(OCoLC)1002222241 035 $a(OCoLC)1004881424 035 $a(OCoLC)1011461581 035 $a(OCoLC)1013956083 035 $a(DE-B1597)9783110550832 035 $a(MiAaPQ)EBC5494949 035 $a(Au-PeEL)EBL5494949 035 $a(OCoLC)1088313218 035 $a(EXLCZ)993800000000216575 100 $a20190615d2017 fg 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMeasure Theory in Non-Smooth Spaces /$fNicola Gigli 210 1$aWarsaw ;$aBerlin : $cDe Gruyter Open Poland, $d[2017] 210 4$d©2017 215 $a1 online resource 311 $a3-11-055082-2 311 $a3-11-055083-0 327 $tFrontmatter -- $tContents -- $tNew stability results for sequences of metric measure spaces with uniform Ricci bounds from below / $rAmbrosio, Luigi / Honda, Shouhei -- $tSurface measures in infinite-dimensional spaces / $rBogachev, Vladimir I. -- $tAn Overview of L1 optimal transportation on metric measure spaces / $rCavalletti, Fabio -- $tOn a conjecture of Cheeger / $rDe Philippis, Guido / Marchese, Andrea / Rindler, Filip -- $tThe magnitude of a metric space: from category theory to geometric measure theory / $rLeinster, Tom / Meckes, Mark W. -- $tOn the convexity of the entropy along entropic interpolations / $rLéonard, Christian -- $tBrief survey ?-Poincaré inequality and existence ?-harmonic functions / $rShanmugalingam, Nageswari -- $tMetric measure limits of spheres and complex projective spaces / $rShioya, Takashi -- $tScalar Curvature and Intrinsic Flat Convergence / $rSormani, Christina 330 $aAnalysis in singular spaces is becoming an increasingly important area of research, with motivation coming from the calculus of variations, PDEs, geometric analysis, metric geometry and probability theory, just to mention a few areas. In all these fields, the role of measure theory is crucial and an appropriate understanding of the interaction between the relevant measure-theoretic framework and the objects under investigation is important to a successful research.The aim of this book, which gathers contributions from leading specialists with different backgrounds, is that of creating a collection of various aspects of measure theory occurring in recent research with the hope of increasing interactions between different fields. List of contributors: Luigi Ambrosio, Vladimir I. Bogachev, Fabio Cavalletti, Guido De Philippis, Shouhei Honda, Tom Leinster, Christian Léonard, Andrea Marchese, Mark W. Meckes, Filip Rindler, Nageswari Shanmugalingam, Takashi Shioya, and Christina Sormani. 606 $3(DE-601)105750743$3(DE-588)4124030-3$aRaum$gMathematik$2gnd 606 $3(DE-601)106088890$3(DE-588)4074626-4$aMaßtheorie$2gnd 606 $aMATHEMATICS / Mathematical Analysis$2bisacsh 615 7$aRaum 615 7$aMaßtheorie 615 7$aMATHEMATICS / Mathematical Analysis. 676 $a510 700 $aGigli$b Nicola, $0227784 702 $aMarchese$b Andrea, $4ctb$4https://id.loc.gov/vocabulary/relators/ctb 702 $aLéonard$b Christian, $4ctb$4https://id.loc.gov/vocabulary/relators/ctb 702 $aSormani$b Christina, $4ctb$4https://id.loc.gov/vocabulary/relators/ctb 702 $aCavalletti$b Fabio, $4ctb$4https://id.loc.gov/vocabulary/relators/ctb 702 $aRindler$b Filip, $4ctb$4https://id.loc.gov/vocabulary/relators/ctb 702 $aDe Philippis$b Guido, $4ctb$4https://id.loc.gov/vocabulary/relators/ctb 702 $aAmbrosio$b Luigi, $4ctb$4https://id.loc.gov/vocabulary/relators/ctb 702 $aMeckes$b Mark W., $4ctb$4https://id.loc.gov/vocabulary/relators/ctb 702 $aShanmugalingam$b Nageswari, $4ctb$4https://id.loc.gov/vocabulary/relators/ctb 702 $aHonda$b Shouhei, $4ctb$4https://id.loc.gov/vocabulary/relators/ctb 702 $aShioya$b Takashi, $4ctb$4https://id.loc.gov/vocabulary/relators/ctb 702 $aLeinster$b Tom, $4ctb$4https://id.loc.gov/vocabulary/relators/ctb 702 $aBogachev$b Vladimir I., $4ctb$4https://id.loc.gov/vocabulary/relators/ctb 801 0$bDE-B1597 801 1$bDE-B1597 906 $aBOOK 912 $a996309082103316 996 $aMeasure Theory in Non-Smooth Spaces$92292938 997 $aUNISA