cap off

cap off
a) To finish.

Let be an acyclic 2-complex and an abstract regular neighborhood of ; , so cap off to get a homology -sphere .

b) To glue a relatively uncomplicated compact manifold to a manifold of the same dimension along (a component of the latters boundary).

Note, however, that when one cuts a 3-manifold along an incompressible torus, there is no canonical way to cap off the boundary components thus created, as is the case for spheres. For any toral boundary component, there are many ways to glue in a solid torus... .


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  • cap off — cap (something) off to complete an experience in a particularly good or bad way. We went to the beach, strolled around town, and capped off our visit with a fireworks display that evening. Usage notes: sometimes used in the form cap it all off:… …   New idioms dictionary

  • cap off — verb finish or complete, as with some decisive action he capped off the meeting with a radical proposal • Hypernyms: ↑get through, ↑wrap up, ↑finish off, ↑mop up, ↑polish off, ↑clear up, ↑finish up …   Useful english dictionary

  • cap — I. /kæp / (say kap) noun 1. a covering for the head, especially one fitting closely and made of softer material than a hat, and having little or no brim, but often having a peak. 2. the flat, peaked headdress worn by soldiers and others. 3. a… …  

  • cap — I. noun Usage: often attributive Etymology: Middle English cappe, from Old English cæppe, from Late Latin cappa head covering, cloak Date: before 12th century 1. a. a head covering especially with a visor and no brim b. a distinctive head… …   New Collegiate Dictionary

  • Cap d'Agde — (IPA2|kap dagd) is the seaside resort of the town of Agde, France, on the Mediterranean sea in the département of Hérault, within the région of Languedoc Roussillon. Agde can be reached by TGV SNCF train direct from Paris or Lille whilst the… …   Wikipedia

  • Cap O' Rushes — is an English fairy tale collected by Joseph Jacobs in English Fairy Tales . [Joseph Jacobs, English Fairy Tales , [http://www.surlalunefairytales.com/donkeyskin/stories/caporushes.html Cap O Rushes ] ] It is Aarne Thompson type 510B, the… …   Wikipedia

  • cap something off — cap (something) off to complete an experience in a particularly good or bad way. We went to the beach, strolled around town, and capped off our visit with a fireworks display that evening. Usage notes: sometimes used in the form cap it all off:… …   New idioms dictionary

  • CAP Scientific — Ltd was a British defence software company. CAP merged with Sema Metra SA in 1988 as Sema Group plc which was acquired by Schlumberger in 2001 to become SchlumbergerSema, itself acquired by Atos Origin in 2004. A defence joint venture with… …   Wikipedia

  • cap — I noun ceiling, greatest amount, lid, limit, maximum amount II verb complete, conclude, end, finish, finish off, get done, get through with, perfect, terminate III index culminate, culmination, finish …   Law dictionary

  • Cap Anamur — is an organisation which is helping refugees worldwide.In 1979 Christel and Rupert Neudeck, together with a group of friends, formed the committee A ship for Vietnam and chartered for the rescue mission the freighter Cap Anamur named after a cape …   Wikipedia

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