Topology, branch of mathematics, sometimes referred to as “rubber sheet geometry,” in which two objects are considered equivalent if they can be continuously deformed into one another through such motions in space as bending, twisting, stretching, and shrinking while disallowing tearing apart or

Topology definition is - topographic study of a particular place; specifically : the history of a region as indicated by its topography. How to use topology in a sentence. {{Topology-stub}} 位相幾何学関連のスタブ項目: 結び目理論 {{Knottheory-stub}} 結び目理論関連のスタブ項目: 代数幾何学 {{Algebraic-geometry-stub}} 代数幾何学関連のスタブ項目: 多面体 {{Polyhedron-stub}} 多面体関連のスタブ項目: 多胞体 {{Polychora-stub}} 多胞体関連のスタブ The terminology "geometric topology" as far as I'm aware is a fairly recent historical phenomenon. The words used by topologists to describe their areas has had a fair bit of flux over the years. Before the mid-40's, algebraic topology was called combinatorial topology. I think the urge to use the phrase geometric topology began sometime after the advent of the h-cobordism theorem, and the Topology is a relatively new branch of mathematics; most of the research in topology has been done since 1900. The following are some of the subfields of topology. General Topology or Point Set Topology. General topology normally considers local properties of spaces, and is closely related to analysis. topology meaning: 1. the way the parts of something are organized or connected: 2. the way the parts of something…. Learn more.

## May 29, 2018 · Prove that (), the power set, is a topology on (it's called the discrete topology) and that when is equipped with this topology and : → is any function where is a topological space, then is automatically continuous.

In mathematics, the lower limit topology or right half-open interval topology is a topology defined on the set of real numbers; it is different from the standard topology on (generated by the open intervals) and has a number of interesting properties.

### Topologi från grekiskans τοπος ("topos": plats, ställe) och λογος ("logos": lära), är en gren inom den moderna matematiken.Det är en form av geometri där endast formen på objekten, och inte några avstånd, betraktas .

The terminology "geometric topology" as far as I'm aware is a fairly recent historical phenomenon. The words used by topologists to describe their areas has had a fair bit of flux over the years. Before the mid-40's, algebraic topology was called combinatorial topology. I think the urge to use the phrase geometric topology began sometime after the advent of the h-cobordism theorem, and the Topology is a relatively new branch of mathematics; most of the research in topology has been done since 1900. The following are some of the subfields of topology. General Topology or Point Set Topology. General topology normally considers local properties of spaces, and is closely related to analysis.