the etive igneous complex has intruded into dalradian and moine meta-sedimentary rocks in devonian. main rock types of the complex are granodiorite, monzodiorite, monzogranite, granite and diorite. geochemical studies show that the magmas were of high k calc-alkaline, i-type and metaluminous nature. application of discriminant diagrams to the etive rocks indicates a possible within-plate tecton...

Let V be a finite dimensional complex vector space and W ⊆ GL(V ) be a finite complex reflection group. Let V reg be the complement in V of the reflecting hyperplanes. We prove that V reg is a K(π, 1) space. This was predicted by a classical conjecture, originally stated by Brieskorn for complexified real reflection group. The complexified real case follows from a theorem of Deligne and, after ...

The k-polynomial of a simplicial complex C is the function kC(x)= ∑ i¿1 fix i where fi is the number of i-faces in C. These k-polynomials are closed under composition, and we are lead to ask: for higher composites of a complex C with itself, what happens to the roots of their k-polynomials? We prove that they converge to the Julia set of kC(x), thereby associating with C a fractal. For 2-dimens...

Complex K-Theory is an extraordinary cohomology theory defined from the complex vector bundles on a space. This essay aims to provide a quick and accessible introduction to K-theory, including how to calculate with it, and some of its additional features such as characteristic classes, the Thom isomorphism and Gysin maps.

Abstract: We first study the relationship between the k-Fibonacci numbers and the elements of a subset of Q. Later, and since generally studies that are made on the Fibonacci sequences consider that these numbers are integers, in this article, we study the possibility that the index of the k-Fibonacci number is fractional; concretely, 2n+1 2 . In this way, the k-Fibonacci numbers that we obtain...

We analytically describe the architecture of randomly damaged uncorrelated networks as a set of successively enclosed substructures--k-cores. The k-core is the largest subgraph where vertices have at least k interconnections. We find the structure of k-cores, their sizes, and their birthpoints--the bootstrap percolation thresholds. We show that in networks with a finite mean number zeta2 of the...

We compute the K-theory of complex projective spaces. There are three major ingredients: the exact sequence of K-groups, the theory of Chern character and the Bott Periodicity Theorem.