clopen subset

См. также в других словарях:

• 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

• Free Boolean algebra — In abstract algebra, a branch of mathematics, a free Boolean algebra is a Boolean algebra 〈 B , F 〉, such that the set B (called the carrier ) has a subset whose elements are called generators. The generators satisfy the following properties:… …   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

• Locally connected space — In this topological space, V is a neighbourhood of p and it contains a connected neighbourhood (the dark green disk) that contains p. In topology and other branches of mathematics, a topological space X is locally connected if every point admits… …   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

• 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

• Topological property — In topology and related areas of mathematics a topological property or topological invariant is a property of a topological space which is invariant under homeomorphisms. That is, a property of spaces is a topological property if whenever a space …   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

• Anexo:Glosario de topología — 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 topología general y en las definiciones que sean importantes para… …   Wikipedia Español