### What does **topologically** mean?

# Definitions for topologically

topo·log·i·cal·ly

#### This dictionary definitions page includes all the possible meanings, example usage and translations of the word **topologically**.

### Princeton's WordNet

topologicallyadverb

from the point of view of topology

### Wiktionary

topologicallyadverb

In a topological manner

### Wikipedia

topologically

In mathematics, topology (from the Greek words τόπος, 'place, location' and λόγος, 'study') concerns with the properties of a geometric object that are preserved under continuous deformations, such as stretching, twisting, crumpling, and bending; that is, without closing holes, opening holes, tearing, gluing, or passing through itself. A topological space is a set endowed with a structure, called a topology, which allows defining continuous deformation of subspaces, and, more generally, all kinds of continuity. Euclidean spaces, and, more generally, metric spaces are examples of a topological space, as any distance or metric defines a topology. The deformations that are considered in topology are homeomorphisms and homotopies. A property that is invariant under such deformations is a topological property. Basic examples of topological properties are: the dimension, which allows distinguishing between a line and a surface; compactness, which allows distinguishing between a line and a circle; connectedness, which allows distinguishing a circle from two non-intersecting circles. The ideas underlying topology go back to Gottfried Leibniz, who in the 17th century envisioned the geometria situs and analysis situs. Leonhard Euler's Seven Bridges of Königsberg problem and polyhedron formula are arguably the field's first theorems. The term topology was introduced by Johann Benedict Listing in the 19th century, although it was not until the first decades of the 20th century that the idea of a topological space was developed.

### ChatGPT

topologically

Topologically refers to the arrangement, properties or features of an object in relation to topology. Topology is the branch of mathematics that deals with properties of space that are preserved under continuous transformations, such as stretching, crumpling, or bending, not involving cutting or gluing. Therefore, something described as being topologically equivalent or similar indicates it retains the said properties irrespective of the shape or form.

### Usage in printed sources**From:**

- [["1899","3"],["1904","2"],["1923","1"],["1925","1"],["1926","4"],["1930","13"],["1931","3"],["1932","37"],["1933","2"],["1934","8"],["1935","18"],["1936","176"],["1937","5"],["1938","17"],["1939","20"],["1940","29"],["1941","50"],["1942","13"],["1943","20"],["1944","6"],["1945","41"],["1946","43"],["1947","33"],["1948","30"],["1949","44"],["1950","61"],["1951","55"],["1952","77"],["1953","38"],["1954","23"],["1955","113"],["1956","116"],["1957","41"],["1958","139"],["1959","136"],["1960","220"],["1961","175"],["1962","260"],["1963","305"],["1964","330"],["1965","322"],["1966","226"],["1967","391"],["1968","387"],["1969","496"],["1970","498"],["1971","381"],["1972","400"],["1973","660"],["1974","619"],["1975","730"],["1976","593"],["1977","629"],["1978","503"],["1979","660"],["1980","674"],["1981","759"],["1982","749"],["1983","1023"],["1984","968"],["1985","1154"],["1986","1257"],["1987","1251"],["1988","1695"],["1989","1484"],["1990","1871"],["1991","1859"],["1992","1979"],["1993","1893"],["1994","1970"],["1995","1954"],["1996","1787"],["1997","2068"],["1998","2136"],["1999","2319"],["2000","2787"],["2001","2608"],["2002","2609"],["2003","2518"],["2004","2800"],["2005","2998"],["2006","2669"],["2007","2685"],["2008","2242"]]

### Numerology

Chaldean Numerology

The numerical value of topologically in Chaldean Numerology is:

**6**Pythagorean Numerology

The numerical value of topologically in Pythagorean Numerology is:

**9**

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"topologically." *Definitions.net.* STANDS4 LLC, 2024. Web. 7 Nov. 2024. <https://www.definitions.net/definition/topologically>.

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