Titlebook: Algebraic Combinatorics; Lectures at a Summer Peter Orlik,Volkmar Welker,Gunnar Fløystad Textbook 2007 Springer-Verlag Berlin Heidelberg 20

GLUE

Simon A. Zebelo,Massimo E. Maffeiy construct from a given (regular, finite) CW-complex a second CW-complex that is homotopy equivalent to the first but has fewer cells. As the upshot of this chapter we then show that one can use this theory in order to construct minimal free resolutions (see also [3]). Discrete Morse theory has fou

Chameleon

Meager

https://doi.org/10.1007/978-94-017-6251-9Much of the algebraic combinatorics described in Chapter 1 was originally developed with topological applications in mind. We give a brief description of some of the main features of these applications.

陈列

Algebraic CombinatoricsLet . be a vector space of dimension ℓ. Let A be an arrangement of . hyperplanes in . . Let . = .(A) be the set of nonempty intersections of elements of A. An element . ∈ . is called an . A.

舰旗

Hamper

Introductionider . points in the real line ℝ or in the complex line ℂ. We shall see later that these seemingly innocent examples lead to interesting problems. In dimension 2, the Selberg arrangement of five lines is shown below. We shall use this arrangement to illustrate definitions and results in Section 1.11.

男生如果明白

Cellular Resolutionen with some personal bias from a big set of examples of cellular resolutions that have emerged over the last years. We try to be a bit more complete by covering in the exercises some of the examples that are left out.

Amenable

Ischemia

anaerobic

https://doi.org/10.1007/978-94-017-6784-2ider . points in the real line ℝ or in the complex line ℂ. We shall see later that these seemingly innocent examples lead to interesting problems. In dimension 2, the Selberg arrangement of five lines is shown below. We shall use this arrangement to illustrate definitions and results in Section 1.11.