Michael Shulman University of San Diego Homotopy type theory: towards Grothendieck’s dream Several decades ago, Grothendieck proposed that “∞-groupoids” could replace topological spaces as a context for homotopy

Source URL: web.science.mq.edu.au

MUMFORD’S CONJECTURE - A TOPOLOGICAL OUTLOOK Ulrike Tillmann Abstract. We give an expository account of the proof of Mumford’s conjecture on the stable, rational cohomology of moduli spaces of algebraic curves in it

Source URL: people.maths.ox.ac.uk

On the Existence of Monotone Pure Strategy Equilibria in Bayesian Games Philip J. Reny Department of Economics University of Chicago November 2008

Source URL: federation.ens.fr

• Algebraic structures
• Lattice theory
• Topological spaces
• Convex analysis
• Semilattice
• Contractible space
• Convex set
• Lattice
• Convex function
• Mathematics
• Topology
• Mathematical analysis

ANALYSIS ON GROUPS: THE HAHN-BANACH THEOREM(S) A topological vector space is by denition a vector space E with a (Hausdor) topology S such that the vector space operations are continuous: that is, the maps E × E → E

Source URL: egg.epfl.ch

• Functional analysis
• Linear algebra
• Operator theory
• Topological vector spaces
• Hahn–Banach theorem
• Banach spaces
• Normed vector space
• Vector space
• Locally convex topological vector space
• Algebra
• Mathematical analysis
• Mathematics

Sober Spaces and Continuations Paul Taylor August 5, 2003 Abstract A topological space is sober if it has exactly the points that are dictated by its open sets. We explain the analogy with the way in which computational

Source URL: www.paultaylor.eu

• Functions and mappings
• Theoretical computer science
• Formal methods
• Models of computation
• Model theory
• Symbol
• Lambda calculus
• Interpretation
• Primitive recursive function
• Mathematics
• Mathematical logic
• Computability theory

Homework I: Point-Set Topology and Surfaces due 28 Oct, Some Point-Set Problems A We define the half-infinite topology on R to be generated by the set of all intervals [a, ∞), for all a ∈ R, along with the emp

Source URL: www.paulbendich.com

• Topological manifold
• Manifold
• Connected space
• Finite topological space
• Closed set
• Compact space
• Subspace topology
• Open set
• Homeomorphism
• Topology
• General topology
• Topological spaces

Sergejs Solovjovs Masaryk University Localification procedure for affine systems In 1989, S. Vickers introduced the notion of topological system as a common framework for both topological spaces and the underlying algebr

Source URL: web.science.mq.edu.au

• Category theory
• Structure
• Order theory
• Space
• Reflective subcategory
• Equivalence of categories
• Category of topological spaces
• Duality
• Complete Heyting algebra
• Mathematics
• Adjoint functors
• Abstract algebra

FLATTENING FUNCTIONS ON FLOWERS EDMUND HARRISS AND OLIVER JENKINSON Abstract. Let T be an orientation-preserving Lipschitz expanding map of the circle T. A pre-image selector is a map τ : T → T with finitely many disc

Source URL: www.mathematicians.org.uk

• Topology
• Metric geometry
• Lipschitz continuity
• Topological spaces
• Continuous function
• Modulus of continuity
• Metric space
• Derivative
• Mathematical analysis
• Mathematics
• Lipschitz maps

Contemporary Mathematics Topological Cohen–Macaulay criteria for monomial ideals Ezra Miller Introduction

Source URL: www.math.duke.edu

• Algebraic topology
• Commutative algebra
• Algebraic combinatorics
• Homotopy theory
• Topological spaces
• Stanley–Reisner ring
• Combinatorial commutative algebra
• Cohomology
• Simplicial complex
• Abstract algebra
• Topology
• Algebra

Acta Numerica http://journals.cambridge.org/ANU Additional services for Acta Numerica:

Source URL: www.ayasdi.com

• Homotopy theory
• Topological spaces
• Algebraic topology
• General topology
• Fundamental group
• Homotopy
• Quotient space
• Path
• Equivalence relation
• Topology
• Mathematics
• Space