Matches in SemOpenAlex for { <https://semopenalex.org/work/W1489335801> ?p ?o ?g. }
Showing items 1 to 79 of
79
with 100 items per page.
- W1489335801 endingPage "232" @default.
- W1489335801 startingPage "229" @default.
- W1489335801 abstract "L etS be an (n 1)-sphere smoothly embedded in a closed, ori- entable, smooth n-manifold M, and let the embedding be null-homotopic. We show that, if S does not bound a ball, then M is a rational homology sphere, the fundamental groups of both components of M n S are nite, and at least one of them is trivial. Let M be a closed, oriented n-manifold, and suppose that : S n 1 ! M is a smooth embedding that is null-homotopic. It follows easily that the image (S n 1 )= S separates M into two pieces: M = X0 (S Y0 ,o rM = X # Y with X = X0 ( B n and Y = Y0 ( B n . An obvious instance is when X0 or Y0 is dieomorphic to B n ;w e then say thatS bounds a ball on one side. The question as to whether this is the only possibility arises in (Terng and Thorbergsson 1997). The following theorem describes what can happen; there are examples in every dimension to show that this is (more or less) the best possible. The only qualication is that it is perhaps possible to show that both X and Y must be simply connected; all of the examples constructed at the end of this article have this property." @default.
- W1489335801 created "2016-06-24" @default.
- W1489335801 creator A5070466435 @default.
- W1489335801 date "1997-01-01" @default.
- W1489335801 modified "2023-09-27" @default.
- W1489335801 title "Null-Homotopic Embedded Spheres of Codimension One" @default.
- W1489335801 cites W1555186976 @default.
- W1489335801 cites W1949813140 @default.
- W1489335801 cites W2023876595 @default.
- W1489335801 cites W2321301008 @default.
- W1489335801 cites W653647932 @default.
- W1489335801 hasPublicationYear "1997" @default.
- W1489335801 type Work @default.
- W1489335801 sameAs 1489335801 @default.
- W1489335801 citedByCount "1" @default.
- W1489335801 countsByYear W14893358012014 @default.
- W1489335801 crossrefType "journal-article" @default.
- W1489335801 hasAuthorship W1489335801A5070466435 @default.
- W1489335801 hasConcept C104317684 @default.
- W1489335801 hasConcept C114614502 @default.
- W1489335801 hasConcept C122041747 @default.
- W1489335801 hasConcept C127413603 @default.
- W1489335801 hasConcept C134306372 @default.
- W1489335801 hasConcept C154945302 @default.
- W1489335801 hasConcept C165525559 @default.
- W1489335801 hasConcept C185592680 @default.
- W1489335801 hasConcept C202444582 @default.
- W1489335801 hasConcept C33923547 @default.
- W1489335801 hasConcept C41008148 @default.
- W1489335801 hasConcept C41608201 @default.
- W1489335801 hasConcept C529865628 @default.
- W1489335801 hasConcept C55493867 @default.
- W1489335801 hasConcept C78519656 @default.
- W1489335801 hasConcept C83979697 @default.
- W1489335801 hasConceptScore W1489335801C104317684 @default.
- W1489335801 hasConceptScore W1489335801C114614502 @default.
- W1489335801 hasConceptScore W1489335801C122041747 @default.
- W1489335801 hasConceptScore W1489335801C127413603 @default.
- W1489335801 hasConceptScore W1489335801C134306372 @default.
- W1489335801 hasConceptScore W1489335801C154945302 @default.
- W1489335801 hasConceptScore W1489335801C165525559 @default.
- W1489335801 hasConceptScore W1489335801C185592680 @default.
- W1489335801 hasConceptScore W1489335801C202444582 @default.
- W1489335801 hasConceptScore W1489335801C33923547 @default.
- W1489335801 hasConceptScore W1489335801C41008148 @default.
- W1489335801 hasConceptScore W1489335801C41608201 @default.
- W1489335801 hasConceptScore W1489335801C529865628 @default.
- W1489335801 hasConceptScore W1489335801C55493867 @default.
- W1489335801 hasConceptScore W1489335801C78519656 @default.
- W1489335801 hasConceptScore W1489335801C83979697 @default.
- W1489335801 hasLocation W14893358011 @default.
- W1489335801 hasOpenAccess W1489335801 @default.
- W1489335801 hasPrimaryLocation W14893358011 @default.
- W1489335801 hasRelatedWork W114550336 @default.
- W1489335801 hasRelatedWork W1601632810 @default.
- W1489335801 hasRelatedWork W1992114410 @default.
- W1489335801 hasRelatedWork W2013948205 @default.
- W1489335801 hasRelatedWork W2018650653 @default.
- W1489335801 hasRelatedWork W2024989721 @default.
- W1489335801 hasRelatedWork W2027885925 @default.
- W1489335801 hasRelatedWork W2041932041 @default.
- W1489335801 hasRelatedWork W2066529933 @default.
- W1489335801 hasRelatedWork W2066764732 @default.
- W1489335801 hasRelatedWork W2084986250 @default.
- W1489335801 hasRelatedWork W2104375826 @default.
- W1489335801 hasRelatedWork W2123689636 @default.
- W1489335801 hasRelatedWork W2129678180 @default.
- W1489335801 hasRelatedWork W2161549472 @default.
- W1489335801 hasRelatedWork W2741183703 @default.
- W1489335801 hasRelatedWork W2748298471 @default.
- W1489335801 hasRelatedWork W2924503666 @default.
- W1489335801 hasRelatedWork W3102243653 @default.
- W1489335801 hasRelatedWork W2509547468 @default.
- W1489335801 isParatext "false" @default.
- W1489335801 isRetracted "false" @default.
- W1489335801 magId "1489335801" @default.
- W1489335801 workType "article" @default.