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- Adjunction_space abstract "In mathematics, an adjunction space (or attaching space) is a common construction in topology where one topological space is attached or "glued" onto another. Specifically, let X and Y be topological spaces with A a subspace of Y. Let f : A → X be a continuous map (called the attaching map). One forms the adjunction space X ∪f Y by taking the disjoint union of X and Y and identifying x with f(x) for all x in A. Schematically,Sometimes, the adjunction is written as . Intuitively, we think of Y as being glued onto X via the map f.As a set, X ∪f Y consists of the disjoint union of X and (Y − A). The topology, however, is specified by the quotient construction. In the case where A is a closed subspace of Y one can show that the map X → X ∪f Y is a closed embedding and (Y − A) → X ∪f Y is an open embedding.".
- Adjunction_space thumbnail AdjunctionSpace-01.svg?width=300.
- Adjunction_space wikiPageExternalLink topgpds.html.
- Adjunction_space wikiPageID "1240842".
- Adjunction_space wikiPageRevisionID "546317461".
- Adjunction_space hasPhotoCollection Adjunction_space.
- Adjunction_space id "3992".
- Adjunction_space title "Adjunction space".
- Adjunction_space subject Category:Topological_spaces.
- Adjunction_space subject Category:Topology.
- Adjunction_space type Abstraction100002137.
- Adjunction_space type Attribute100024264.
- Adjunction_space type MathematicalSpace108001685.
- Adjunction_space type Set107999699.
- Adjunction_space type Space100028651.
- Adjunction_space type TopologicalSpaces.
- Adjunction_space comment "In mathematics, an adjunction space (or attaching space) is a common construction in topology where one topological space is attached or "glued" onto another. Specifically, let X and Y be topological spaces with A a subspace of Y. Let f : A → X be a continuous map (called the attaching map). One forms the adjunction space X ∪f Y by taking the disjoint union of X and Y and identifying x with f(x) for all x in A. Schematically,Sometimes, the adjunction is written as .".
- Adjunction_space label "Adjunction space".
- Adjunction_space label "Recollement (topologie)".
- Adjunction_space label "Suma spójna".
- Adjunction_space label "فضاء الإلحاق".
- Adjunction_space label "黏着空间".
- Adjunction_space sameAs Recollement_(topologie).
- Adjunction_space sameAs Suma_spójna.
- Adjunction_space sameAs m.04lcn_.
- Adjunction_space sameAs Q4683190.
- Adjunction_space sameAs Q4683190.
- Adjunction_space sameAs Adjunction_space.
- Adjunction_space wasDerivedFrom Adjunction_space?oldid=546317461.
- Adjunction_space depiction AdjunctionSpace-01.svg.
- Adjunction_space isPrimaryTopicOf Adjunction_space.
