10/3 handout
10. SEPARATION AXIOMS ON g*-OPEN SETS IN INTUITIONISTIC TOPOLOGICAL SPACES
1.8 Completeness - Matrix Editions
1.6 Smooth functions and partitions of unity
1.5 Smooth maps
1.3 Equivalent Formulations of Lebesgue Measurability
1.2 Topological Manifolds.
1.2 Open Sets, Closed Sets, and Clopen Sets
1.1. Algebraic sets and the Zariski topology. We have said in the
1.1 Writing Conditional, Converse, and Inverse
1. Topological spaces We start with the abstract definition of
1. Topological spaces Definition 1.1. We say a family of sets T is a
1. Topological spaces Definition 1.1. Let X be a set. A topology on X
1. Theorem: If (X,d) is a metric space, then the following are
1. The one point compactification Definition 1.1. A compactification
1. The Baire category theorem
1. Scheme A ringed space is a pair (X,OX), where X is a topological
1. Prove that a continuous real-valued function on a topological
1. Projective Space Let X be a topological space and R be an
1. Natural transformations Let C and D be categories, and F, G : C
1. Lecture 4, February 21 1.1. Open immersion. Let (X,O X) be a