**Generalizations**

Occasionally, one needs to use the tools of topology but a "set of points" is not available. In pointless topology one considers instead the lattice of open sets as the basic notion of the theory, while Grothendieck topologies are certain structures defined on arbitrary categories that allow the definition of sheaves on those categories, and with that the definition of quite general cohomology theories.

Read more about this topic: Topology, Topology Topics

### Other articles related to "generalizations, generalization":

Lune Of Hippocrates -

... In the mid-20th century two Russian mathematicians, Nikolai Chebotaryov and his student Anatoly Dorodnov, completely classified the lunes that are constructible by compass and straightedge and that have equal area to a given square ... All such lunes can be specified by the two angles formed by the inner and outer arcs on their respective circles in this notation, for instance, the lune of Hippocrates would have the inner and outer angles (90°,180°) ...

**Generalizations**... In the mid-20th century two Russian mathematicians, Nikolai Chebotaryov and his student Anatoly Dorodnov, completely classified the lunes that are constructible by compass and straightedge and that have equal area to a given square ... All such lunes can be specified by the two angles formed by the inner and outer arcs on their respective circles in this notation, for instance, the lune of Hippocrates would have the inner and outer angles (90°,180°) ...

Demographics - Criticisms and Qualifications of Demographic Profiling

... profiling is essentially an exercise in making

... profiling is essentially an exercise in making

**generalizations**about groups of people ... As with all such**generalizations**many individuals within these groups will not conform to the profile - demographic information is aggregate and probabilistic information ... Critics of demographic profiling argue that such broad-brush**generalizations**can only offer such limited insight and that their practical usefulness is ...Section (fiber Bundle) - Local and Global Sections - Extending To Global Sections -

... There is an important distinction here intuitively, local sections are like "vector fields" on an open subset of a topological space ... So at each point, an element of a fixed vector space is assigned ...

**Generalizations**... There is an important distinction here intuitively, local sections are like "vector fields" on an open subset of a topological space ... So at each point, an element of a fixed vector space is assigned ...

Log-logistic Distribution - Related Distributions -

... Another more straightforward

**Generalizations**... Another more straightforward

**generalization**of the log-logistic is the shifted log-logistic distribution ...Hilda Taba - Approach

... The four strategies are concept development, interpretation of data, application of

... The four strategies are concept development, interpretation of data, application of

**generalizations**, and interpretations of feelings, attitudes and values ... to make inferences from data, to make**generalizations**on the basis of data and to test these**generalizations**, and to become sensitive to such corollary ...Main Site Subjects