Matches in SemOpenAlex for { <https://semopenalex.org/work/W2952204880> ?p ?o ?g. }
Showing items 1 to 95 of
95
with 100 items per page.
- W2952204880 abstract "In this work we show that an $n$-dimensional Borel set in Euclidean $N$-space with finite integral Menger curvature is $n$-rectifiable, meaning that it can be covered by countably many images of Lipschitz continuous functions up to a null set in the sense of Hausdorff measure. This generalises Leger's rectifiability result for one-dimensional sets to arbitrary dimension and co-dimension. In addition, we characterise possible integrands and discuss examples known from the literature. Intermediate results of independent interest include upper bounds of different versions of P. Jones's $beta$-numbers in terms of integral Menger curvature without assuming lower Ahlfors regularity, in contrast to the results of Lerman and Whitehouse." @default.
- W2952204880 created "2019-06-27" @default.
- W2952204880 creator A5063340729 @default.
- W2952204880 date "2015-10-15" @default.
- W2952204880 modified "2023-09-27" @default.
- W2952204880 title "Integral Menger Curvature and Rectifiability of $n$-dimensional Borel sets in Euclidean $N$-space" @default.
- W2952204880 cites W1536943407 @default.
- W2952204880 cites W1610856580 @default.
- W2952204880 cites W1918345677 @default.
- W2952204880 cites W1963944232 @default.
- W2952204880 cites W1980892915 @default.
- W2952204880 cites W1982986740 @default.
- W2952204880 cites W2005545100 @default.
- W2952204880 cites W2012448492 @default.
- W2952204880 cites W2047917194 @default.
- W2952204880 cites W2122724852 @default.
- W2952204880 cites W2133569585 @default.
- W2952204880 cites W2418789341 @default.
- W2952204880 cites W596012617 @default.
- W2952204880 hasPublicationYear "2015" @default.
- W2952204880 type Work @default.
- W2952204880 sameAs 2952204880 @default.
- W2952204880 citedByCount "3" @default.
- W2952204880 countsByYear W29522048802016 @default.
- W2952204880 countsByYear W29522048802017 @default.
- W2952204880 countsByYear W29522048802019 @default.
- W2952204880 crossrefType "posted-content" @default.
- W2952204880 hasAuthorship W2952204880A5063340729 @default.
- W2952204880 hasConcept C110729354 @default.
- W2952204880 hasConcept C12089564 @default.
- W2952204880 hasConcept C129782007 @default.
- W2952204880 hasConcept C134306372 @default.
- W2952204880 hasConcept C138885662 @default.
- W2952204880 hasConcept C186450821 @default.
- W2952204880 hasConcept C194198291 @default.
- W2952204880 hasConcept C195065555 @default.
- W2952204880 hasConcept C202444582 @default.
- W2952204880 hasConcept C22324862 @default.
- W2952204880 hasConcept C2524010 @default.
- W2952204880 hasConcept C2778572836 @default.
- W2952204880 hasConcept C2780009758 @default.
- W2952204880 hasConcept C33676613 @default.
- W2952204880 hasConcept C33923547 @default.
- W2952204880 hasConcept C39952206 @default.
- W2952204880 hasConcept C41008148 @default.
- W2952204880 hasConcept C41895202 @default.
- W2952204880 hasConcept C73225184 @default.
- W2952204880 hasConcept C77088390 @default.
- W2952204880 hasConceptScore W2952204880C110729354 @default.
- W2952204880 hasConceptScore W2952204880C12089564 @default.
- W2952204880 hasConceptScore W2952204880C129782007 @default.
- W2952204880 hasConceptScore W2952204880C134306372 @default.
- W2952204880 hasConceptScore W2952204880C138885662 @default.
- W2952204880 hasConceptScore W2952204880C186450821 @default.
- W2952204880 hasConceptScore W2952204880C194198291 @default.
- W2952204880 hasConceptScore W2952204880C195065555 @default.
- W2952204880 hasConceptScore W2952204880C202444582 @default.
- W2952204880 hasConceptScore W2952204880C22324862 @default.
- W2952204880 hasConceptScore W2952204880C2524010 @default.
- W2952204880 hasConceptScore W2952204880C2778572836 @default.
- W2952204880 hasConceptScore W2952204880C2780009758 @default.
- W2952204880 hasConceptScore W2952204880C33676613 @default.
- W2952204880 hasConceptScore W2952204880C33923547 @default.
- W2952204880 hasConceptScore W2952204880C39952206 @default.
- W2952204880 hasConceptScore W2952204880C41008148 @default.
- W2952204880 hasConceptScore W2952204880C41895202 @default.
- W2952204880 hasConceptScore W2952204880C73225184 @default.
- W2952204880 hasConceptScore W2952204880C77088390 @default.
- W2952204880 hasLocation W29522048801 @default.
- W2952204880 hasOpenAccess W2952204880 @default.
- W2952204880 hasPrimaryLocation W29522048801 @default.
- W2952204880 hasRelatedWork W1497817911 @default.
- W2952204880 hasRelatedWork W1743133682 @default.
- W2952204880 hasRelatedWork W1962784024 @default.
- W2952204880 hasRelatedWork W1975703163 @default.
- W2952204880 hasRelatedWork W1997799624 @default.
- W2952204880 hasRelatedWork W2010176074 @default.
- W2952204880 hasRelatedWork W2041156146 @default.
- W2952204880 hasRelatedWork W2059656612 @default.
- W2952204880 hasRelatedWork W2094793033 @default.
- W2952204880 hasRelatedWork W2181022034 @default.
- W2952204880 hasRelatedWork W2245317823 @default.
- W2952204880 hasRelatedWork W2286138739 @default.
- W2952204880 hasRelatedWork W2299716335 @default.
- W2952204880 hasRelatedWork W2962883095 @default.
- W2952204880 hasRelatedWork W2963319042 @default.
- W2952204880 hasRelatedWork W2963321749 @default.
- W2952204880 hasRelatedWork W3008278786 @default.
- W2952204880 hasRelatedWork W3094582852 @default.
- W2952204880 hasRelatedWork W3133422221 @default.
- W2952204880 hasRelatedWork W3204655638 @default.
- W2952204880 isParatext "false" @default.
- W2952204880 isRetracted "false" @default.
- W2952204880 magId "2952204880" @default.
- W2952204880 workType "article" @default.