Clopen

Clopen

clopen may refer to:
*a clopen set as in topology (a branch of mathematics)
*a term used by workers in retail and service jobs when then have to close one night, and open the following day. This term can be used either as a noun ("my schedule has a clopen this week"), or as a verb ("looks like I have to clopen")
*a term used by parents to their children at bedtime in reference to the door's position between closed and open. This should be measured by the span between an adult's pinky and thumb extended in opposite directions. The term can be used as an adjective ("Would you like the door clopen"?) This term is originated by Mike Pryor, while trying to put his children to bed.


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  • Clopen — Im Teilgebiet Topologie der Mathematik ist eine abgeschlossene offene Menge (im Englischen clopen set) eine Teilmenge eines topologischen Raums, die gleichzeitig abgeschlossen und offen ist. Dies erscheint auf den ersten Blick seltsam; man muss… …   Deutsch Wikipedia

  • Clopen set — In topology, a clopen set (a portmanteau of closed open set) in a topological space is a set which is both open and closed. That this is possible for a set is not as counter intuitive as it might seem if the terms open and closed were thought of… …   Wikipedia

  • clopen — adjective Of a subset of a topological space, both open and closed …   Wiktionary

  • Conjunto clopen — En topología, un conjunto clopen (o conjunto cebierto) en un espacio topológico es un conjunto que es a la vez abierto y cerrado. Ejemplos En cualquier espacio topológico X, el conjunto vacío y todo el espacio X son ambos clopen. Ahora considere… …   Wikipedia Español

  • Conjunto clopen — En topología, un conjunto clopen (o conjunto cerrado abierto) en un espacio topológico es un conjunto que es a la vez abierto y cerrado …   Enciclopedia Universal

  • Interior algebra — In abstract algebra, an interior algebra is a certain type of algebraic structure that encodes the idea of the topological interior of a set. Interior algebras are to topology and the modal logic S4 what Boolean algebras are to set theory and… …   Wikipedia

  • Glossary of topology — This is a glossary of some terms used in the branch of mathematics known as topology. Although there is no absolute distinction between different areas of topology, the focus here is on general topology. The following definitions are also… …   Wikipedia

  • Open set — Example: The points (x, y) satisfying x2 + y2 = r2 are colored blue. The points (x, y) satisfying x2 + y2 < r2 are colored red. The red points form an open set. The blue points form a closed set. The union of the red and blue points is a… …   Wikipedia

  • Field of sets — Set algebra redirects here. For the basic properties and laws of sets, see Algebra of sets. In mathematics a field of sets is a pair where X is a set and is an algebra over X i.e., a non empty subset of the power set of X closed under the… …   Wikipedia

  • Glosario de topología — Anexo:Glosario de topología Saltar a navegación, búsqueda Esto es un glosario de algunos términos que se usan en la rama de la matemática conocida como topología. Este glosario estará centrado fundamentalmente en lo que podemos llamar la… …   Wikipedia Español

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