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INTERSECTION HOMOLOGY THEORY

- M. Goresky, R. Macpherson
- Mathematics
- 1980

INTRODUCTION WE DEVELOP here a generalization to singular spaces of the Poincare-Lefschetz theory of intersections of homology cycles on manifolds, as announced in [6]. Poincart, in his 1895 paper… Expand

Stratified Morse theory

- M. Goresky, R. Macpherson
- Mathematics
- 1988

Suppose that X is a topological space, f is a real valued function on X, and c is a real number. Then we will denote by X ≤c the subspace of points x in X such that f(x)≤c. The fundamental problem of… Expand

Equivariant cohomology, Koszul duality, and the localization theorem

- M. Goresky, R. Kottwitz, R. Macpherson
- Mathematics
- 17 December 1997

(1.1) This paper concerns three aspects of the action of a compact group K on a space X . The ®rst is concrete and the others are rather abstract. (1) Equivariantly formal spaces. These have the… Expand

Intersection homology II

- M. Goresky, R. Macpherson
- Mathematics
- 1 February 1983

In [19, 20] we introduced topological invariants IH~,(X) called intersection homology groups for the study of singular spaces X. These groups depend on the choice of a perversity p: a perversity is a… Expand

Feedback shift registers, 2-adic span, and combiners with memory

- A. Klapper, M. Goresky
- Mathematics, Computer Science
- Journal of Cryptology
- 1 March 1997

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Fibonacci and Galois representations of feedback-with-carry shift registers

- M. Goresky, A. Klapper
- Mathematics, Computer Science
- IEEE Trans. Inf. Theory
- 1 November 2002

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On the Spectrum of the Equivariant Cohomology Ring

- M. Goresky, R. Macpherson
- Mathematics
- Canadian Journal of Mathematics
- 1 April 2010

Abstract If an algebraic torus $T$ acts on a complex projective algebraic variety $X$ , then the affine scheme $\text{Spec}\,H_{T}^{*}\left( X;\,\mathbb{C} \right)$ associated with the equivariant… Expand

2-Adic Shift Registers

- A. Klapper, M. Goresky
- Computer Science
- FSE
- 9 December 1993

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An Introduction to Abstract Algebra

- A. Klapper, M. Goresky
- 2005

algebra plays a fundamental role in many areas of science and engineering. In this chapter we describe a variety of basic algebraic structures that play roles in the generation and analysis of… Expand

Arithmetic crosscorrelations of feedback with carry shift register sequences

- M. Goresky, A. Klapper
- Mathematics, Computer Science
- IEEE Trans. Inf. Theory
- 1 July 1997

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