The classical linear discriminant analysis (LDA) algorithm has three primary drawbacks, ie,
small sample size problem, sensitivity to noise and outliers, and inability to deal with multi …

In this paper we begin to develop a machinery which we call A1-homotopy theory of
schemes. All our constructions are based on the intuitive feeling that if the category of …

References Page 1 References [1] S. Abhyankar, S. Wiegand, On the compositum of two power
series rings, Proc. Amer. Math. Soc. 112 (1991), 629 – 636. [2] U. Albrecht, Endomorphism …

''Lusternik-Schnirelmann category is like a Picasso painting. Looking at category from
different perspectives produces completely different impressions of category's beauty and …

We give two general constructions for the passage from unstable to stable homotopy that
apply to the known example of topological spaces, but also to new situations, such as the A …

We apply ideas from commutative algebra, and Morita theory to algebraic topology using
ring spectra. This allows us to prove new duality results in algebra and topology, and to view …

Suppose that R is a ring and that A is a chain complex over R. Inside the derived category of
differential graded R-modules there are naturally defined subcategories of A-torsion objects …

The most modern and thorough treatment of unstable homotopy theory available. The focus
is on those methods from algebraic topology which are needed in the presentation of results …

We give a homotopy theoretic characterization of stacks on a site C as the homotopy
sheaves of groupoids on C. We use this characterization to construct a model category in …

Topology occupies a central position in the mathematics of today. One of the most useful
ideas to be introduced in the past sixty years is the concept of fibre bundle, which provides …