# Algebraic Topology

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**Algebraic Topology**AFRL-IF-RS-TR-2006-180 Final Technical Report May 2006 ... Sponsored by Defense Advanced Research Projects Agency DARPA Order No. L485 ... The views and conclusions contained in this document are those of the authors and should not be... more

Load balancing functionalities are crucial for best Grid performance and utilization. Accordingly,this paper presents a new meta-scheduling method called TunSys. It is inspired from the natural phenomenon of heat propagation and thermal... more

We develop a Chern-Weil theory for compact Lie group action whose generic stabilizers are finite in the framework of equivariant cohomology. This provides a method of changing an equivariant closed form within its cohomological class to a... more

We introduce the braid groups in their connection to knot theory and investigate several of their properties. Based on term rewriting systems, which we review, we find new solutions to the word and conjugacy problems in the braid groups.... more

A metric space is a set of points for which we have a notion of distance which just measures the how far apart two points are. The most important and natural way to apply this notion of distance is to say what we mean by continuous motion... more

FROM THE BACK COVER: What is the essential nature of meaning? . . . . . This book answers by examining interpretive theories from the past and present. It finds that an historical struggle with meaning has been underway since the... more

Gentil Lopes - ALGEBRA LINEAR (COMENTADO)

"ABSTRACT: This study assumes the subject's pursuit of meaning is generally incapacitating and should be suspended. It aims to demonstrate how such a suspension is theoretically accomplished by utilizing Lacan's formulae of... more

In this thesis, Monte Carlo methods are elaborated in terms of the notion of the performance of games of chance and observing their out- comes based on sampling random numbers and calculating the volume of possible outcomes. The basic... more

Lecture Notes in Algebraic Topology

We prove that the higher Frobenius-Schur indicators, introduced by Ng and Schauenburg, give a strong enough invariant to distinguish between any two Tambara-Yamagami fusion categories. Our proofs are based on computation of the higher... more

The intention of this article is to propose a generalization to the Black Hole (BH) model, prioritizing an understanding from graphic intuitions. To promote the model presented here (based on the use of quaternions) I will try to convince... more

« Ivor Grattan-Guinness, “Algebras, Projective Geometry, Mathematical Logic, and Constructing the World. Intersections in the Philosophy of Mathematics of A.N. Whitehead”, Historia Mathematica 29, N° 4, 2002, pp. 427-462 », Zentralblatt... more

De Rahm Cohomology is a powerful tool which allows one to extract purely topo-logical information about a manifold, essentially by doing algebra on its cotangent bundle. A particularly useful method of computing de Rham cohomology groups... more

Introduction to a Special Issue of Homology, Homotopy and Applications (Tbilisi Mathematical Journal) 10-3 (2017) in hoor of Peter Freyd and F. William Lawvere on the ocassion of their 80th birthdays

This talk was given at the Toronto Psychoanalytic Society on July 13, 2014.

This is a dramatisation of the tragedy of the mathematician Alexandre Grothendieck. It embroiders---around some of the known facts about Grothendieck's life, and the life of his parents---a speculative portrait of the man and his relation... more

The Gelfand - Na\u{i}mark theorem supplies the one to one correspondence between commutative $C^*$-algebras and locally compact Hausdorff spaces. So any noncommutative $C^*$-algebra can be regarded as a generalization of a topological... more

A Concise Course in Algebraic Topology

[J. P. May]

[J. P. May]

This paper initiates the incorporation of factorization algebra techniques to study motivic homotopy theory. We define a version of the Ran space of an algebraic variety and prove that it is contractible in the unstable motivic homotopy... more

An international book series on Mathematical Combinatorics edited by Dr.Linfan Mao

The aim of this article is to explain a philosophy for applying higher dimensional Seifert-van Kampen Theorems, and how the use of groupoids and strict higher groupoids resolves some foundational anomalies in algebraic topology at the... more

The aim of this thesis is to consider how far results from the theory of surfaces can be extended to theorems concerning surface fibrations. The researched was initially motivated by an attempt to generalise the Baer- Nielsen theorem on... more

We survey the cohomology jumping loci and the Alexander-type invariants associated to a space, or to its fundamental group. Though most of the material is expository, we provide new examples and applications, which in turn raise several... more

The cohomology jump loci of a space are of several types: the characteristic varieties, defined in terms of homology with coefficients in rank one local systems; the resonance varieties, constructed from information encoded in the... more

Neste trabalho de dissertação é tratado algumas equivalências do número de Milnor.

In this work of dissertation is treated some equivalences of the number of Milnor.

In this work of dissertation is treated some equivalences of the number of Milnor.

Autor: Munkres James

Este libro puede servir como un texto para un curso de introducción a la Topologia

Este libro puede servir como un texto para un curso de introducción a la Topologia

""The symmetric homology of a unital algebra $A$ over a commutative ground ring $k$ is defined using derived functors and the symmetric bar construction of Fiedorowicz. For a group ring $A = k[\Gamma]$, the symmetric homology is... more

We introduce a new algebraic concept of an algebra which is "almost" commutative (more precisely "quasi-commutative differential graded algebra" or ADGQ, in French). We associate to any simplicial set X an ADGQ -... more

These research notes are motivated by a desire to understand previous work that can contribute to an analytical approach to defining and optimising quality in enterprise reference models. Most of these notes cover a literature review done... more

Have you ever questioned why do we almost always use vector calculus and differential equations in electromagnetics? Are these the only tools at our disposal for studying and modelling electromagnetic problems? Well, the answer is no and... more

In this master thesis we compute the $K_2$-homology of $B^3\Z=K(\Z,3)$ following Ravenel-Wilson, and exhibit all ring spectrum maps from $\Sigma^\infty B^3\Z_+$ to $K_2$. We define the complex oriented theory $K_n$ as a quotient of... more

The characteristic varieties of a space are the jump loci for homology of rank 1 local systems. The way in which the geometry of these varieties may vary with the characteristic of the ground field is reflected in the homology of finite... more

We generalize basic results relating the associated graded Lie algebra and the holonomy Lie algebra of a group, from finitely presented, commutator-relators groups to arbitrary finitely presented groups. Using the notion of " echelon... more

There are several topological spaces associated to a complex hyperplane arrangement: the complement and its boundary manifold, as well as the Milnor fiber and its own boundary. All these spaces are related in various ways, primarily by a... more