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*( and I
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Under the isomorphism given above, this action becomes the natural action of G on C *( G < sup >^</ sup >):
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# Naturality: Sq < sup > n </ sup > is an additive homomorphism from H < sup > m </ sup >( X, Z / 2Z ) to H < sup > m + n </ sup >( X, Z / 2Z ), and is natural meaning that for any map f: X → Y, f *( Sq < sup > n </ sup > x )

42355 and Typhon
However, using an extended definition of Centaurs, as the objects on unstable orbits with the perihelion inside the orbit of Neptune, the first binary centaur, 42355 Typhon ( previously known as ), was identified in 2006.

Typhon and I
The Hittite texts were introduced in 1930 by W. Porzig, who first made the comparison of Teshub's battle with Illuyankas with the sky-god Zeus ' battle with serpent-like Typhon, told in Pseudo-Apollodorus, Bibliotheke ( I. 6. 3 ); the Hittite-Greek parallels found few adherents at the time, the Hittite myth of the castration of the god of heaven by Kumarbi, with its clearer parallels to Greek myth, not having yet been deciphered and edited.
* Porzig, W. " Illuyankas und Typhon ", Kleinasiatische Forschung I. 3 ( 1930 ) pp379 – 86.

Typhon and Echidna
Cerberus was the offspring of Echidna, a hybrid half-woman and half-serpent, and Typhon, a fire-breathing giant whom even the Greek gods feared.
Gaia also marries Tartarus and has Typhon, whom Echidna marries and has Orthos, Kerberos, Hydra, and Chimera.
The Bibliotheca described the Crommyonian sow as an offspring of Typhon and Echidna.
Joseph Eddy Fontenrose suggests that for Nonnus Campe is a Greek refiguring of Tiamat and that " she is Echidna under another name, as Nonnos indicates, calling her Echidnaean Enyo, identifying her snaky legs with Echidna's ", and " a female counterpart of his Typhon ".
Echidna was the mother by Typhon of many monstrous offspring, including:
Also included as the offspring of Echidna by Typhon, by some, are the Sphinx and the Nemean lion.
Ladon, the dragon which guarded the golden apples in the Garden of the Hesperides, was also born of Echidna by Typhon, according to Apollodorus, and Hyginus, but according to Hesiod, Ladon was the offspring of Ceto and Phorcys.
The lion is usually considered to have been the offspring of Typhon ( or Orthrus ) and Echidna ; it is also said to have fallen from the moon as the offspring of Zeus and Selene, or alternatively born of the Chimera.
In Greek mythology, Orthrus ( Orthros ) or Orthus ( Orthos ) () was a two-headed dog and a doublet (" brother ") of Cerberus, both whelped by the chthonic monsters Echidna and Typhon.
According to some sources, it was he rather than Typhon that sired, with Echidna, further chthonic monstrous creatures: the Chimera, the Sphinx, the Lernaean Hydra, and even, Hesiod says, the Nemean lion, and Cerberus.
Typhon fathered several children by his niece, Echidna, daughter of Phorcys and Ceto:
According to Hesiod, Ladon was the son of Phorcys and Ceto, instead of Typhon and Echidna.
Hercules managed to free Typhon and reunite him with Echidna.
The Hydra was the offspring of Typhon and Echidna ( Theogony, 313 ), both of whom were noisome offspring of the earth goddess Gaia.
Usually depicted as a lion, with the head of a goat arising from its back, and a tail that ended in a snakes's head, the Chimera was one of the offspring of Typhon and Echidna and a sibling of such monsters as Cerberus and the Lernaean Hydra.
While there are different genealogies, in one version the Chimera mated with her brother Orthrus and mothered the Sphinx and the Nemean lion ( others have Orthrus and their mother, Echidna, mating ; most attribute all to Typhon and Echidna ).
Thus far, only the binary objects Ceto and Phorcys and Typhon and Echidna have been named according to the new policy.
Several of the labours involved the offspring ( by various accounts ) of Typhon and his mate Echidna, all overcome by Hercules.

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