2 edition of **On the foundations of k-group theory** found in the catalog.

On the foundations of k-group theory

W. F. Lamartin

- 56 Want to read
- 26 Currently reading

Published
**1977** by Państwowe Wydawn. Naukowe in Warszawa .

Written in English

- k-groups.,
- k-spaces.

**Edition Notes**

Bibliography: [32]

Statement | W.F. Lamartin. |

Series | Dissertationes mathematicae =, Rozprawy matematyczne ;, 146, Rozprawy matematyczne ;, 146. |

Classifications | |
---|---|

LC Classifications | QA1 .D54 no. 146, QA387 .D54 no. 146 |

The Physical Object | |

Pagination | 36 p. : |

Number of Pages | 36 |

ID Numbers | |

Open Library | OL2452688M |

LC Control Number | 87153454 |

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Additional Physical Format: Online version: Lamartin, W.F. On the foundations of k-group theory. Warszawa: Państwowe Wydawn. Naukowe, (OCoLC) In mathematics, K-theory is, roughly speaking, the study of a ring generated by vector bundles over a topological space or algebraic topology, it is a cohomology theory known as topological algebra and algebraic geometry, it is referred to as algebraic is also a fundamental tool in the field of operator can be seen as the study of certain kinds of.

GROUP THEORY (MATH ) 5 The easiest description of a ﬁnite group G= fx 1;x 2;;x ng of order n(i.e., x i6=x jfor i6=j) is often given by an n nmatrix, the group table, whose coefﬁcient in the ith row and jth column is the product x ix j: () 0.

Foundations for K-theoretic counterpart of GW-theory were laid down by Y.-P. Lee [19] in the reasonable generality of arbitrary complex algebraic target spaces X (and holomorphic curves of. In mathematics and abstract algebra, group theory studies the algebraic structures known as concept of a group is central to abstract algebra: other well-known algebraic structures, such as rings, fields, and vector spaces, can all be seen as groups endowed with additional On the foundations of k-group theory book and recur throughout mathematics, and the methods of group theory have On the foundations of k-group theory book many.

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Updated daily. Explore all research articles, conference papers, preprints and more on GROUP THEORY. Find methods information, sources, references. One of the authors (Frielander) and Dwyer, using the etale cohomology of Grothendieck, gave a mod-n topological K-theory, called etale K-theory, which led to the work of Suslin and Voevodsky on the motivic homology of algebraic cycles, which is the main focus of this by: Algebraic Groups The theory of group schemes of ﬁnite type over a ﬁeld.

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Atiyah's works on K-theory, including his book on K-theory are reprinted in volume 2 of his collected works. [40] On the foundations of k-group theory book simplest nontrivial example of a vector bundle is the Möbius band (pictured on the right): a strip of paper with a twist in it, which represents a rank 1 vector bundle over a circle (the circle in question being the centerline Doctoral advisor: W.

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The aims of this book are twofold: to offer an accessible, reader-friendly and self-contained introduction to On the foundations of k-group theory book algebras and groups; to clean the foundations and to provide a On the foundations of k-group theory book treatment of the theory.

The book starts with an outline of the classical Lie theory, used to set the scene. Many interactive and locative media projects enable similar processes of collaboration and social interaction, requiring participants to collaborate, to collect facts on a virtual or real world clue trail, as we can often observe in location-based gaming projects.

For example, in the work of the U.K. The K-book by Charles Weibel has a lot of classical material and it is a useful bridge from the low dimensional, hand-defined groups to the more modern algebraic K-theory spectrum. It is a bit long though, and I'd treat it more as a reference than a book to be read from top to bottom.

For analytic K-Theory there is the book by N.E. Wegge-Olsen: ”K-Theory and C∗ Algebras”, Oxford University Pressthe more advanced book by dar: ”K-Theory for Operator Algebras”, Cambridge Uni-versity Pressthe book by Nigel Higson and John Roe: Analytic K-Cited by: 2. von Bayern AMP. () Cognitive foundations of jackdaw social intelligence.

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Algebraic K-theory explained. Algebraic K-theory is a subject area in mathematics with connections to geometry, topology, ring theory, and number ric, algebraic, and arithmetic objects are assigned objects called are groups in the sense of abstract contain detailed information about the original object but are notoriously difficult to compute; for.

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The axiomatic foundations and the structure theory (which are not strictly separated topics) will be developed in Sections 1 to 6, and here lies the main emphasis of Cited by: 7. that continuous K-theory extends to a sheaf of pro-spectra on rigid k-spaces for any discretely valued ﬁeld k.

The main result of this article provides analogous statements of (i)-(iii) above for continuous K-theory of rigid k-spaces; the statements (i) and (ii) extend Kerz’ result to the global case and statement (iii) is entirely : Christian Dahlhausen. () Factorization of cones II, with applications to weak Hausdorff spaces.

In: Banaschewski B. (eds) Categorical Aspects of Topology and Analysis. Lecture Notes in Mathematics, vol Cited by: 4. [46]. The bridge between algebraic K-theory and Hermitian K-theory allowed Karoubi to apply Suslin’s machinery in Hermitian K-theory in order to prove similar results for the stable groups Sp(F),O(F) and U(F) [16], [17].

Now one can use homology stability theorems to prove the conjecture for most of the unstable groups. Scientific Research Publishing is an academic publisher with more than open access journal in the areas of science, technology and medicine. It also publishes. Transcript.

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