例句與造句

1. The axioms for a generalized cohomology theory are obtained by reversing the arrows, roughly speaking.
2. Likewise, the functor from the stable homotopy category to generalized cohomology theories on CW-pairs is not an equivalence.
3. There is a generalization of the theory of Chern classes, where ordinary cohomology is replaced with a generalized cohomology theory.
4. A Adams says that every generalized homology theory comes from a spectrum, and likewise every generalized cohomology theory comes from a spectrum.
5. with'ordinary'cohomology groups " H " " j " with coefficients in the generalized cohomology of a point.
6. It's difficult to find generalized cohomology in a sentence. 用generalized cohomology造句挺難的
7. In 1986 he introduced elliptic cohomology with Douglas C . Ravenel and Robert E . Stong, which is a generalized cohomology theory with applications to modular forms and elliptic curves.
8. Around 1960, Whitehead observed that it is fruitful to omit the dimension axiom completely : this gives the notion of a generalized homology theory or a generalized cohomology theory, defined below.
9. The Adams Novikov spectral sequence is a generalization of the Adams spectral sequence introduced by where ordinary cohomology is replaced by a generalized cohomology theory, often complex bordism or Brown Peterson cohomology.
10. This paper only discussed the zeroth K-group; they shortly after extended it to K-groups of all degrees, giving the first ( nontrivial ) example of a generalized cohomology theory.
11. where G / O denotes the homotopy fiber of the map J \ colon BO \ to BG, which is an infinite loop space and hence maps into it define a generalized cohomology theory.
12. In particular they are " oriented ", which means roughly that they behave well on vector bundles; this is closely related to the condition that a generalized cohomology theory has a complex orientation.
13. There are generalized cohomology theories such as K-theory or complex cobordism that give rich information about a topological space, not directly accessible from singular cohomology . ( In this context, singular cohomology is often called " ordinary cohomology " .)
14. At least for X compact, K ^ 0 ( X ) is defined to be the Grothendieck group of the monoid of complex vector bundles on X . Also, K ^ 1 ( X ) is the group corresponding to vector bundles on the suspension of X . Topological K-theory is a generalized cohomology theory, so it gives a spectrum.