enow.com Web Search

Search results

1. Results from the WOW.Com Content Network

2. Restriction (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Restriction_(mathematics)

   Let , be two closed subsets (or two open subsets) of a topological space such that =, and let also be a topological space. If f : A → B {\displaystyle f:A\to B} is continuous when restricted to both X {\displaystyle X} and Y , {\displaystyle Y,} then f {\displaystyle f} is continuous.

3. Disintegration theorem - Wikipedia

   en.wikipedia.org/wiki/Disintegration_theorem

   In mathematics, the disintegration theorem is a result in measure theory and probability theory. It rigorously defines the idea of a non-trivial "restriction" of a measure to a measure zero subset of the measure space in question. It is related to the existence of conditional probability measures.

4. Parallelization (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Parallelization_(mathematics)

   A manifold is parallelizable iff there is a diffeomorphism : such that the first projection of is : and for each the second factor—restricted to —is a linear map :. In other words, M {\displaystyle M\,} is parallelizable if and only if τ M : T M M {\displaystyle \tau _{M}\colon TM\longrightarrow M\,} is a trivial bundle .

5. Retraction (topology) - Wikipedia

   en.wikipedia.org/wiki/Retraction_(topology)

   A space is an absolute neighborhood retract for the class , written ⁡ (), if is in and whenever is a closed subset of a space in , is a neighborhood retract of . Various classes C {\displaystyle {\mathcal {C}}} such as normal spaces have been considered in this definition, but the class M {\displaystyle {\mathcal {M}}} of metrizable spaces ...

6. Projection (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Projection_(mathematics)

   The concept of projection in mathematics is a very old one, and most likely has its roots in the phenomenon of the shadows cast by real-world objects on the ground. This rudimentary idea was refined and abstracted, first in a geometric context and later in other branches of mathematics. Over time different versions of the concept developed, but ...

7. Restricted root system - Wikipedia

   en.wikipedia.org/wiki/Restricted_root_system

   The restricted root system of a symmetric space and its dual can be identified. For symmetric spaces of noncompact type arising as homogeneous spaces of a semisimple Lie group , the restricted root system and its Weyl group are related to the Iwasawa decomposition of the Lie group.