Matches in SemOpenAlex for { <https://semopenalex.org/work/W3085676700> ?p ?o ?g. }
Showing items 1 to 69 of
69
with 100 items per page.
- W3085676700 abstract "This paper studies coarse compactifications and their boundary. We introduce two alternative descriptions to Roe's original definition of coarse compactification. One approach uses bounded functions on $X$ that can be extended to the boundary. They satisfy the Higson property exactly when the compactification is coarse. The other approach defines a relation on subsets of $X$ which tells when two subsets closure meet on the boundary. A set of axioms characterizes when this relation defines a coarse compactification. Such a relation is called large-scale proximity. Based on this foundational work we study examples for coarse compactifications Higson compactification, Freudenthal compactification and Gromov compactification. For each example we characterize the bounded functions which can be extended to the coarse compactification and the corresponding large-scale proximity relation. We provide an alternative proof for the property that the Higson compactification is universal among coarse compactifications. Furthermore the Freudenthal compactification is universal among coarse compactifications with totally disconnected boundary. If $X$ is hyperbolic geodesic proper then there is a closed embedding $nu(mathbb R_+)times partial Xto nu(X)$. Its image is a retract of $nu(X)$ if $X$ is a tree." @default.
- W3085676700 created "2020-09-21" @default.
- W3085676700 creator A5025577186 @default.
- W3085676700 date "2020-09-17" @default.
- W3085676700 modified "2023-09-27" @default.
- W3085676700 title "Coarse compactifications of proper metric spaces" @default.
- W3085676700 cites W1580231046 @default.
- W3085676700 cites W1621801769 @default.
- W3085676700 cites W1980062477 @default.
- W3085676700 cites W1982055817 @default.
- W3085676700 cites W2023866887 @default.
- W3085676700 cites W2030897982 @default.
- W3085676700 cites W2064559832 @default.
- W3085676700 cites W2327079636 @default.
- W3085676700 cites W2343526759 @default.
- W3085676700 cites W2785628311 @default.
- W3085676700 cites W2798488510 @default.
- W3085676700 cites W2898014952 @default.
- W3085676700 cites W2926820728 @default.
- W3085676700 cites W2949187891 @default.
- W3085676700 cites W2952540049 @default.
- W3085676700 cites W2955202336 @default.
- W3085676700 cites W2963363396 @default.
- W3085676700 cites W2963659035 @default.
- W3085676700 hasPublicationYear "2020" @default.
- W3085676700 type Work @default.
- W3085676700 sameAs 3085676700 @default.
- W3085676700 citedByCount "0" @default.
- W3085676700 crossrefType "posted-content" @default.
- W3085676700 hasAuthorship W3085676700A5025577186 @default.
- W3085676700 hasConcept C134306372 @default.
- W3085676700 hasConcept C165818556 @default.
- W3085676700 hasConcept C202444582 @default.
- W3085676700 hasConcept C2779165322 @default.
- W3085676700 hasConcept C33923547 @default.
- W3085676700 hasConcept C34388435 @default.
- W3085676700 hasConceptScore W3085676700C134306372 @default.
- W3085676700 hasConceptScore W3085676700C165818556 @default.
- W3085676700 hasConceptScore W3085676700C202444582 @default.
- W3085676700 hasConceptScore W3085676700C2779165322 @default.
- W3085676700 hasConceptScore W3085676700C33923547 @default.
- W3085676700 hasConceptScore W3085676700C34388435 @default.
- W3085676700 hasLocation W30856767001 @default.
- W3085676700 hasOpenAccess W3085676700 @default.
- W3085676700 hasPrimaryLocation W30856767001 @default.
- W3085676700 hasRelatedWork W116970568 @default.
- W3085676700 hasRelatedWork W122060280 @default.
- W3085676700 hasRelatedWork W123611718 @default.
- W3085676700 hasRelatedWork W1503794260 @default.
- W3085676700 hasRelatedWork W1973075269 @default.
- W3085676700 hasRelatedWork W1978281013 @default.
- W3085676700 hasRelatedWork W1998194559 @default.
- W3085676700 hasRelatedWork W2029020609 @default.
- W3085676700 hasRelatedWork W2134420057 @default.
- W3085676700 hasRelatedWork W2482973929 @default.
- W3085676700 hasRelatedWork W2618502438 @default.
- W3085676700 hasRelatedWork W2785710175 @default.
- W3085676700 hasRelatedWork W2949612611 @default.
- W3085676700 hasRelatedWork W2949962903 @default.
- W3085676700 hasRelatedWork W2963152156 @default.
- W3085676700 hasRelatedWork W2973738044 @default.
- W3085676700 hasRelatedWork W3100424784 @default.
- W3085676700 hasRelatedWork W3190703861 @default.
- W3085676700 hasRelatedWork W3194079150 @default.
- W3085676700 hasRelatedWork W79055900 @default.
- W3085676700 isParatext "false" @default.
- W3085676700 isRetracted "false" @default.
- W3085676700 magId "3085676700" @default.
- W3085676700 workType "article" @default.