# Definitions for cutpointcut·point

### WiktionaryRate this definition:0.0 / 0 votes

1. cutpointnoun

A point of a connected space whose removal causes the resulting space to be disconnected.

Every point of a line is a cutpoint, but no point of a circle is a cutpoint.

### WikipediaRate this definition:0.0 / 0 votes

1. cutpoint

In topology, a cut-point is a point of a connected space such that its removal causes the resulting space to be disconnected. If removal of a point doesn't result in disconnected spaces, this point is called a non-cut point. For example, every point of a line is a cut-point, while no point of a circle is a cut-point. Cut-points are useful to determine whether two connected spaces are homeomorphic by counting the number of cut-points in each space. If two spaces have different number of cut-points, they are not homeomorphic. A classic example is using cut-points to show that lines and circles are not homeomorphic. Cut-points are also useful in the characterization of topological continua, a class of spaces which combine the properties of compactness and connectedness and include many familiar spaces such as the unit interval, the circle, and the torus.

### Numerology

1. Chaldean Numerology

The numerical value of cutpoint in Chaldean Numerology is: 2

2. Pythagorean Numerology

The numerical value of cutpoint in Pythagorean Numerology is: 1

### Popularity rank by frequency of use

cutpoint#100000#291709#333333

## Translations for cutpoint

### From our Multilingual Translation Dictionary

• punto de corte

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"cutpoint." Definitions.net. STANDS4 LLC, 2023. Web. 31 May 2023. <https://www.definitions.net/definition/cutpoint>.

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