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Glyph for U+1D520
Source: Noto Sans Math

U+1D520 Mathematical Fraktur Small C

U+1D520 was added to Unicode in version 3.1 (2001). It belongs to the block U+1D400 to U+1D7FF Mathematical Alphanumeric Symbols in the U+10000 to U+1FFFF Supplementary Multilingual Plane.

This character is a Lowercase Letter and is commonly used, that is, in no specific script.

The glyph is a Font composition of the glyph Glyph for U+0063 Latin Small Letter C. It has a Neutral East Asian Width. In bidirectional context it acts as Left To Right and is not mirrored. The glyph can, under circumstances, be confused with 1 other glyphs. In text U+1D520 behaves as Alphabetic regarding line breaks. It has type Lower for sentence and Alphabetic Letter for word breaks. The Grapheme Cluster Break is Any.

The Wikipedia has the following information about this codepoint:

In set theory, the cardinality of the continuum is the cardinality or "size" of the set of real numbers R {displaystyle mathbb {R} } , sometimes called the continuum. It is an infinite cardinal number and is denoted by c {displaystyle {mathfrak {c}}} (lowercase Fraktur "c") or | R | {displaystyle |mathbb {R} |} .

The real numbers R {displaystyle mathbb {R} } are more numerous than the natural numbers N {displaystyle mathbb {N} } . Moreover, R {displaystyle mathbb {R} } has the same number of elements as the power set of N . {displaystyle mathbb {N} .} Symbolically, if the cardinality of N {displaystyle mathbb {N} } is denoted as ℵ 0 {displaystyle aleph _{0}} , the cardinality of the continuum is

This was proven by Georg Cantor in his uncountability proof of 1874, part of his groundbreaking study of different infinities. The inequality was later stated more simply in his diagonal argument in 1891. Cantor defined cardinality in terms of bijective functions: two sets have the same cardinality if, and only if, there exists a bijective function between them.

Between any two real numbers a < b, no matter how close they are to each other, there are always infinitely many other real numbers, and Cantor showed that they are as many as those contained in the whole set of real numbers. In other words, the open interval (a,b) is equinumerous with R . {displaystyle mathbb {R} .} This is also true for several other infinite sets, such as any n-dimensional Euclidean space R n {displaystyle mathbb {R} ^{n}} (see space filling curve). That is,

The smallest infinite cardinal number is ℵ 0 {displaystyle aleph _{0}} (aleph-null). The second smallest is ℵ 1 {displaystyle aleph _{1}} (aleph-one). The continuum hypothesis, which asserts that there are no sets whose cardinality is strictly between ℵ 0 {displaystyle aleph _{0}} and c {displaystyle {mathfrak {c}}} , means that c = ℵ 1 {displaystyle {mathfrak {c}}=aleph _{1}} . The truth or falsity of this hypothesis is undecidable and cannot be proven within the widely used Zermelo–Fraenkel set theory with axiom of choice (ZFC).

Representations

System Representation
120096
UTF-8 F0 9D 94 A0
UTF-16 D8 35 DD 20
UTF-32 00 01 D5 20
URL-Quoted %F0%9D%94%A0
HTML hex reference &#x1D520;
Wrong windows-1252 Mojibake 𝔠
HTML named entity &cfr;
LATEX \mathfrak{c}

Related Characters

Confusables

Elsewhere

Complete Record

Property Value
Age 3.1 (2001)
Unicode Name MATHEMATICAL FRAKTUR SMALL C
Unicode 1 Name
Block Mathematical Alphanumeric Symbols
General Category Lowercase Letter
Script Common
Bidirectional Category Left To Right
Combining Class Not Reordered
Decomposition Type Font
Decomposition Mapping Glyph for U+0063 Latin Small Letter C
Lowercase
Simple Lowercase Mapping Glyph for U+1D520 Mathematical Fraktur Small C
Lowercase Mapping Glyph for U+1D520 Mathematical Fraktur Small C
Uppercase
Simple Uppercase Mapping Glyph for U+1D520 Mathematical Fraktur Small C
Uppercase Mapping Glyph for U+1D520 Mathematical Fraktur Small C
Simple Titlecase Mapping Glyph for U+1D520 Mathematical Fraktur Small C
Titlecase Mapping Glyph for U+1D520 Mathematical Fraktur Small C
Case Folding Glyph for U+1D520 Mathematical Fraktur Small C
ASCII Hex Digit
Alphabetic
Bidi Control
Bidi Mirrored
Composition Exclusion
Case Ignorable
Changes When Casefolded
Changes When Casemapped
Changes When NFKC Casefolded
Changes When Lowercased
Changes When Titlecased
Changes When Uppercased
Cased
Full Composition Exclusion
Default Ignorable Code Point
Dash
Deprecated
Diacritic
Emoji Modifier Base
Emoji Component
Emoji Modifier
Emoji Presentation
Emoji
Extender
Extended Pictographic
FC NFKC Closure Glyph for U+1D520 Mathematical Fraktur Small C
Grapheme Cluster Break Any
Grapheme Base
Grapheme Extend
Grapheme Link
Hex Digit
Hyphen
ID Continue
ID Start
IDS Binary Operator
IDS Trinary Operator and
IDSU 0
ID_Compat_Math_Continue 0
ID_Compat_Math_Start 0
Ideographic
InCB None
Indic Mantra Category
Indic Positional Category NA
Indic Syllabic Category Other
Jamo Short Name
Join Control
Logical Order Exception
Math
Noncharacter Code Point
NFC Quick Check Yes
NFD Quick Check Yes
NFKC Casefold Glyph for U+0063 Latin Small Letter C
NFKC Quick Check No
NFKC_SCF Glyph for U+0063 Latin Small Letter C
NFKD Quick Check No
Other Alphabetic
Other Default Ignorable Code Point
Other Grapheme Extend
Other ID Continue
Other ID Start
Other Lowercase
Other Math
Other Uppercase
Prepended Concatenation Mark
Pattern Syntax
Pattern White Space
Quotation Mark
Regional Indicator
Radical
Sentence Break Lower
Soft Dotted
Sentence Terminal
Terminal Punctuation
Unified Ideograph
Variation Selector
Word Break Alphabetic Letter
White Space
XID Continue
XID Start
Expands On NFC
Expands On NFD
Expands On NFKC
Expands On NFKD
Bidi Paired Bracket Glyph for U+1D520 Mathematical Fraktur Small C
Bidi Paired Bracket Type None
East Asian Width Neutral
Hangul Syllable Type Not Applicable
ISO 10646 Comment
Joining Group No_Joining_Group
Joining Type Non Joining
Line Break Alphabetic
Numeric Type None
Numeric Value not a number
Simple Case Folding Glyph for U+1D520 Mathematical Fraktur Small C
Script Extension
Vertical Orientation R