• In mathematics, a CAT ( k ) {\displaystyle \mathbf {\operatorname {\textbf {CAT}} } (k)} space, where k {\displaystyle k} is a real number, is a specific...
    13 KB (1,995 words) - 01:22, 31 January 2024
  • Félicette (redirect from Space cat)
    Parisian cat that became the first feline launched into space on 18 October 1963 as part of the French space program. She was one of 14 female cats trained...
    25 KB (2,708 words) - 04:08, 8 May 2025
  • Look up cat, Cat, CAT, catted, or catting in Wiktionary, the free dictionary. The cat (Felis catus) is a domesticated feline species. Cat or CAT may also...
    7 KB (799 words) - 08:03, 3 May 2025
  • Thumbnail for Metric space
    a CAT(k) space (a synthetic condition which depends purely on the metric) if and only if its sectional curvature is bounded above by k. Thus CAT(k) spaces...
    82 KB (11,434 words) - 23:41, 9 March 2025
  • sectional curvature bounded above by a strictly negative constant k then it is a CAT(k) space. Consequently, its fundamental group Γ = π1(M) is Gromov hyperbolic...
    13 KB (1,471 words) - 23:46, 9 February 2025
  • Thumbnail for Cat
    The cat (Felis catus), also referred to as the domestic cat or house cat, is a small domesticated carnivorous mammal. It is the only domesticated species...
    162 KB (16,572 words) - 23:23, 14 May 2025
  • Thumbnail for Triangle
    corresponding triangle in a model space like hyperbolic or elliptic space. For example, a CAT(k) space is characterized by such comparisons. Fractal shapes based...
    55 KB (6,518 words) - 01:13, 30 April 2025
  • Thumbnail for Curved space
    {\displaystyle (4/3)\pi r^{3}} . CAT(k) space Non-positive curvature "The Feynman Lectures on Physics Vol. II Ch. 42: Curved Space". www.feynmanlectures.caltech...
    8 KB (1,336 words) - 16:34, 25 November 2024
  • Thumbnail for List of Russian mathematicians
    especially on the Burnside problem Aleksandr Aleksandrov, developer of CAT(k) space and Alexandrov's uniqueness theorem in geometry Pavel Alexandrov, author...
    18 KB (1,744 words) - 06:21, 5 May 2025
  • Thumbnail for Hadamard space
    equivalently defined as complete CAT(0) spaces. A Hadamard space is defined to be a nonempty complete metric space such that, given any points x {\displaystyle...
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  • Curvature (redirect from Flat space)
    spaces. The notion of a triangle makes senses in metric spaces, and this gives rise to CAT(k) spaces. Curvature form for the appropriate notion of curvature...
    44 KB (6,488 words) - 20:04, 5 May 2025
  • conditions for differential systems Isotropic line CAT(k) space Einstein – Cartan theory Hermitian symmetric space Moving frame Pseudogroup Pure spinor List of...
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  • Thumbnail for Hyperbolic group
    Hyperbolic group (category Hyperbolic metric space)
    generalisation is given by groups admitting a geometric action on a CAT(k) space, when k {\displaystyle k} is any negative number. There exist examples which are...
    21 KB (2,729 words) - 12:27, 6 May 2025
  • Thumbnail for Cats and the Internet
    be around 6.5 billion cat pictures on the Internet. The Internet has been described as a "virtual cat park, a social space for cat lovers in the same way...
    96 KB (8,697 words) - 01:51, 14 May 2025
  • Thumbnail for Orbifold
    Haefliger in the 1980s in the context of Mikhail Gromov's programme on CAT(k) spaces under the name orbihedron. Historically, orbifolds arose first as surfaces...
    78 KB (10,243 words) - 15:00, 14 March 2025
  • TAMALA 2010: A Punk Cat in Space is a 2002 Japanese avant-garde animated film written, directed and featuring music by the two-person team t.o.L ("trees...
    10 KB (1,149 words) - 03:02, 15 December 2024
  • From Taylor's 'Blank Space' Video". BigTop40. Archived from the original on July 15, 2023. Retrieved July 15, 2023. "Swift's cat Olivia Benson meets her...
    22 KB (1,600 words) - 05:11, 20 February 2025
  • Thumbnail for Ragdoll
    Ragdoll (redirect from Ragdoll cat)
    The Ragdoll is a breed of cat with a distinct colorpoint coat and blue eyes. Its morphology is large and weighty, and it has a semi-long and silky soft...
    21 KB (2,168 words) - 09:00, 16 May 2025
  • Thumbnail for Hyperbolic space
    more combinatorial spaces via a synthetic approach to negative curvature. Another generalisation is the notion of a CAT(−1) space. The n {\displaystyle...
    10 KB (1,521 words) - 06:14, 7 November 2024
  • Thumbnail for Bicolor cat
    A bicolor cat (also tuxedo cat) is a cat with white fur combined with fur of some other color, for example, solid black, tabby, or colorpointed. There...
    20 KB (2,353 words) - 19:45, 21 April 2025
  • Cartan–Weyl basis Cartan–Killing form Cartan–Kuranishi prolongation theorem CAT(k) space Maurer–Cartan form Newton–Cartan theory Stokes–Cartan theorem, the generalized...
    2 KB (201 words) - 05:40, 27 September 2024
  • Thumbnail for Aleksandr Aleksandrov (mathematician)
    Commons has media related to Aleksandr Aleksandrov (mathematician). CAT(k) space Cauchy's theorem Alexandrov theorem Aleksandrov–Rassias problem Alexandrov–Fenchel...
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  • first world computer chess champion Aleksandr Aleksandrov, developer of CAT(k) space and Alexandrov's uniqueness theorem in geometry Pavel Alexandrov, author...
    95 KB (9,622 words) - 21:08, 30 April 2025
  • 'Cool Cat' and the cornerstone 'Under Pressure' itself." Michael Jackson, who was close friends with the band during the time, later cited Hot Space as an...
    40 KB (3,662 words) - 00:37, 4 April 2025
  • Thumbnail for Arnold's cat map
    \mathbb {T} ^{2}} as the quotient space R 2 / Z 2 {\displaystyle \mathbb {R} ^{2}/\mathbb {Z} ^{2}} , Arnold's cat map is the transformation Γ : T 2 →...
    11 KB (1,566 words) - 10:17, 24 October 2024
  • "Space-Time for Springers." Published in: Star of Stars; edited by Frederik Pohl. Doubleday, 1960, p. 170. "Jennie". "SCP-529 - Josie the Half-Cat"....
    46 KB (1,107 words) - 22:18, 14 March 2025
  • Thumbnail for Pallas's cat
    The Pallas's cat (Otocolobus manul), also known as the manul, is a small wild cat with long and dense light grey fur, and rounded ears set low on the sides...
    58 KB (6,288 words) - 20:02, 23 February 2025
  • Thumbnail for Category 5 cable
    Category 5 cable (redirect from Cat-5)
    Category 5 cable (Cat 5) is a twisted pair cable for computer networks. Since 2001, the variant commonly in use is the Category 5e specification (Cat 5e). The...
    23 KB (1,885 words) - 15:51, 8 December 2024
  • Scarlet is the fourth studio album by American rapper Doja Cat. It was released through Kemosabe and RCA Records on September 22, 2023. Disillusioned...
    92 KB (7,777 words) - 05:03, 12 May 2025
  • "Omaha" the Cat Dancer is an erotic comic strip and later comic book created by artist Reed Waller and writer Kate Worley. Set in fictional Mipple City...
    17 KB (2,033 words) - 17:44, 15 December 2024