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Almost tiling of the Boolean lattice with copies of a poset

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Geometrization conjecture

In mathematics, Thurston's geometrization conjecture states that each of certain three-dimensional topological spaces has a unique geometric structure that can be associated with it. It is an analogue of the uniformization theorem for two-dimensional surfaces, which states that every simply connected Riemann surface can be given one of three geometries (Euclidean, spherical, or hyperbolic). In three dimensions, it is not always possible to assign a single geometry to a whole topological space.

Glossary of order theory

This is a glossary of some terms used in various branches of mathematics that are related to the fields of order, lattice, and domain theory. Note that there is a structured list of order topics available as well. Other helpful resources might be the following overview articles: completeness properties of partial orders distributivity laws of order theory preservation properties of functions between posets. In the following, partial orders will usually just be denoted by their carrier sets.

Connected sum

In mathematics, specifically in topology, the operation of connected sum is a geometric modification on manifolds. Its effect is to join two given manifolds together near a chosen point on each. This construction plays a key role in the classification of closed surfaces. More generally, one can also join manifolds together along identical submanifolds; this generalization is often called the fiber sum. There is also a closely related notion of a connected sum on knots, called the knot sum or composition of knots.

Microsoft basic data partition

In Microsoft operating systems, when using basic disk partitioned with GUID Partition Table (GPT) layout, a basic data partition (BDP) is any partition identified with Globally Unique Identifier (GUID) of . According to Microsoft, the basic data partition is the equivalent to master boot record (MBR) partition types (FAT16B), (NTFS or exFAT), and (FAT32). In practice, it is equivalent to (FAT12), (FAT16), (FAT32 with logical block addressing), and (FAT16 with logical block addressing) types as well.