منابع مشابه
Whitehead Products in Function Spaces: Quillen Model Formulae
We study Whitehead products in the rational homotopy groups of a general component of a function space. For the component of any based map f : X → Y , in either the based or free function space, our main results express the Whitehead product directly in terms of the Quillen minimal model of f . These results follow from a purely algebraic development in the setting of chain complexes of derivat...
متن کاملOn Generalized Whitehead Products
We define a symmetric monodical pairing G ◦ H among simply connected co-H spaces G and H with the property that S(G◦H) is equivalent to the smash product G∧H as co-H spaces. We further generalize the Whitehead product map to a map G ◦ H → G ∨ H whose mapping cone is the cartesian product. Whitehead products have played an important role in unstable homotopy. They were originally introduced [Whi...
متن کاملFuzzy Complex Projective Spaces and their Star - products
We derive an explicit expression for an associative ∗-product on the fuzzy complex projective space, CPN−1 F . This generalises previous results for the fuzzy 2-sphere and gives a discrete non-commutative algebra of functions on CPN−1 F , represented by matrix multiplication. The matrices are restricted to ones whose dimension is that of the totally symmetric representations of SU(N). In the li...
متن کاملThe Bp -theory of Two-fold Products of Projective Spaces
In [KWa, KWb] the need for the Brown-Peterson cohomology (for p = 2) of a product of two real projective spaces arose. In particular, they needed to understand the elements not in the tensor product and how they behaved under maps. Although quick computations with the Adams spectral sequence or the AtiyahHirzebruch spectral sequence suggest the answer, there seemed to be nothing explicit enough...
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ژورنال
عنوان ژورنال: Indiana University Mathematics Journal
سال: 1960
ISSN: 0022-2518
DOI: 10.1512/iumj.1960.9.59050