**Lectures on Sheaf Theory**

by C.H. Dowker

**Publisher**: Tata Institute of Fundamental Research 1957**ISBN/ASIN**: B0007KGPVQ**Number of pages**: 201

**Description**:

A sheaf is a tool for systematically tracking locally defined data attached to the open sets of a topological space. Contents: Sheaves; Sections; Cohomology groups of a space with coefficients in a presheaf; Introduction of the family Phi; Singular chains; Direct sum of modules; etc.

Download or read it online for free here:

**Download link**

(810KB, PDF)

## Similar books

**Optimization Algorithms on Matrix Manifolds**

by

**P.-A. Absil, R. Mahony, R. Sepulchre**-

**Princeton University Press**

Many science and engineering problems can be rephrased as optimization problems on matrix search spaces endowed with a manifold structure. This book shows how to exploit the structure of such problems to develop efficient numerical algorithms.

(

**14892**views)

**Manifolds**

by

**Neil Lambert**-

**King's College London**

From the table of contents: Manifolds (Elementary Topology and Definitions); The Tangent Space; Maps Between Manifolds; Vector Fields; Tensors; Differential Forms; Connections, Curvature and Metrics; Riemannian Manifolds.

(

**7961**views)

**Exact Sequences in the Algebraic Theory of Surgery**

by

**Andrew Ranicki**-

**Princeton University Press**

One of the principal aims of surgery theory is to classify the homotopy types of manifolds using tools from algebra and topology. The algebraic approach is emphasized in this book, and it gives the reader a good overview of the subject.

(

**7996**views)

**Floer Homology, Gauge Theory, and Low Dimensional Topology**

by

**David Ellwood, at al.**-

**American Mathematical Society**

Mathematical gauge theory studies connections on principal bundles. The book provides an introduction to current research, covering material from Heegaard Floer homology, contact geometry, smooth four-manifold topology, and symplectic four-manifolds.

(

**10751**views)