Question: Coton de Tulear and Australian Silky Terrier, is a breed of what?

Context articles: Paisley Terrier
Russkiy Toy
Teddy Roosevelt Terrier
Yorkshire Terrier
Soft-coated Wheaten Terrier
Australian Silky Terrier
Terrier Group
American Russell Terrier Club
Coton de Tulear
Airedale Terrier

The Paisley Terrier was a breed of terrier type dog that is now extinct.
 Originating in Scotland, the Paisley Terrier was bred primarily as a pet and showdog version of the Skye Terrier, and was the progenitor of today's Yorkshire Terrier.
 The breed was called the Paisley terrier since most of the dogs came from that location, but it was also called the Clydesdale Terrier, for another location in the Clyde Valley where the dogs were bred.
The Russian Toy (also known as the Russian Toy Terrier, and in Russia as the Russkiy Toy, Toychik,Russian: Русский той, Тойчик ) is a very small breed of dog originally bred in Russia from the English Toy Terrier which is known today as the Manchester Terrier.
 There are two types of coats in the breed: smooth coat and long coat.
 The smooth-coated variety was previously known as the Russian Toy Terrier and long-coated as the Moscow Long Haired Toy Terrier.
 Both were brought together under the same Russian Toy Terrier name in 1988 and the "Terrier" was dropped from the name when the breed was added in 2006 to the official list of breeds registered with the Fédération Cynologique Internationale and has been registered in the Foundation Stock Service of the American Kennel Club since 2008, allowed to compete in AKC companion events since 2010.
 The first official breed standard of the two varieties was written in 1966 in Russia.
The Teddy Roosevelt Terrier is a small to medium-sized American hunting terrier.
 Lower-set with shorter legs, more muscular, and heavier bone density than its cousin the American Rat Terrier.
 There is much diversity in the history of the Teddy Roosevelt Terrier breed and it shares a common early history with the American Rat Terrier, Fox Paulistinha and Tenterfield Terrier.
 It is said the Rat Terrier background stems from the terriers or other dogs that were brought over by early English and other working class immigrants.
 Since the breed was a farm, hunting and utility dog there was little to no planned breeding other than breeding dogs with agreeable traits to each other in order to produce the desired work ethic in the dog.
 It is assumed that the Feist (dog), Bull Terrier, Smooth Fox Terrier, Manchester Terrier, Whippet, Italian Greyhound, the now extinct English White Terrier, Turnspit dog and or Wry Legged Terrier all share in the Teddy Roosevelt Terrier's ancestry.
 These early Ratting Terriers were then most likely bred to the Beagle or Beagle cross bred dogs (for increased scenting ability) and other dogs.
 Maximizing the influences from these various breeds provides the modern Teddy Roosevelt Terrier with a keen sense of awareness and prey drive, an acute sense of smell and a very high intellect.
 Although they tend to be aloof with strangers they are devoted companion dogs with a strong desire to please and be near their owners side at all times.
The Yorkshire Terrier is a small dog breed of terrier type, developed during the 19th century in Yorkshire, England, to catch rats in clothing mills.
 The defining feature of the breed is its maximum size of 7 lb , although some may exceed this and grow up to 15 lb .
 It is placed in the Toy Terrier section of the Terrier Group by the Fédération Cynologique Internationale and in the Toy Group or Companion Group by other kennel clubs, including the American Kennel Club.
 A popular companion dog, the Yorkshire Terrier has also been part of the development of other breeds, such as the Australian Silky Terrier.
 It has a grey, black, and tan coat, and the breed's nickname is "Yorkie".
The Soft-coated Wheaten Terrier () is a pure breed terrier originating from Ireland.
 These dogs are hypoallergenic, and are more easily tolerated by those allergic to other breeds.
 Wheatens typically have one of two coat types: Irish or American.
 The Irish coat is considered to be the breed standard.
 It is generally more silky and wavy than the American coat, which is thicker and more "wooly".
 Wheatens are generally friendly and playful, and tend to get along well with children and other dogs.
The Australian Silky Terrier is a small breed of dog of the terrier dog type.
 The breed was developed in Australia, although the ancestral types and breeds were from Great Britain.
 It is closely related to the Australian Terrier and the Yorkshire Terrier.
 The breed is called the "Silky Terrier" in North America, but is called the "Australian Silky Terrier" in its country of origin and in the rest of the world.
Terrier Group is the name of a breed Group of dogs, used by kennel clubs to classify a defined collection of dog breeds.
 In general, a "Terrier Group" includes one particular type of dog, the Terrier, although other types may be included in a kennel club's "Terrier Group".
 Most major English-language kennel clubs include a "Terrier Group" although different kennel clubs may not include the same breeds in their "Terrier Group".
 The international kennel club association, the Fédération Cynologique Internationale, includes Terriers in Group 3 "Terrier", which is then further broken down into four "Sections" based on the type of terrier and breed history.
The American Russell Terrier Club (formerly named the English Jack Russell Terrier Club), founded by JoAnn Stoll in 1995, was the first registry in the United States to maintain the Russell Terrier as a separate breed from the Parson Russell Terrier.
 The American Jack Russell Terrier Club is affiliated with both the United Kennel Club and the American Kennel Club.
 The purpose of the early founders was to establish a registry for the perpetuation and development of the Russell Terrier as a pure strain of working Jack Russell Terrier keeping their blood and type pure within the registry to works towards Kennel Club recognition as an official breed in the US.
 On January 1, 2001, the United Kennel Club recognized the Russell Terrier as an official breed, designating only the stock from the American Russell Terrier Club as Foundation stock for the UKC Russell Terrier.
 In 2004 the American Russell Terrier Club submitted an official request to include the American Russell Terrier Club stock into the AKC FSS Program to work towards becoming an official breed under the perimeters.
 On December 8, 2004, the AKC officially accepted the Russell Terrier.
The Coton de Tuléar is a breed of small dog named for the city of Tuléar in Madagascar and for its cotton-like coat.
The Airedale Terrier (often shortened to "Airedale"), also called Bingley Terrier and Waterside Terrier, is a dog breed of the terrier type that originated in the valley ("dale") of the River Aire, in the West Riding of Yorkshire, England.
 It is traditionally called the "King of Terriers" because it is the largest of the terrier breeds.
 The Airedale was bred from the Old English Black and Tan Terrier (now extinct), the Bull Terrier, the Otterhound and probably some other Terrier breeds, originally to serve as an all around working farm dog.
 In Britain this breed has also been used as a war dog, guide dog and police dog.
 In the United States, this breed has been used to hunt big game, upland birds, and water fowl, and serve in many other working capacities.