barmakthesis.pdf
... That means that for any two points of X0 there exists an open set which contains only one of them. Therefore, when studying homotopy types of finite spaces, we can restrict our attention to T0 -spaces. In [37], Stong defines the notion of linear and colinear points, which we call up beat and down be ...
... That means that for any two points of X0 there exists an open set which contains only one of them. Therefore, when studying homotopy types of finite spaces, we can restrict our attention to T0 -spaces. In [37], Stong defines the notion of linear and colinear points, which we call up beat and down be ...
The local structure of algebraic K-theory
... spectra. This idea has to a great extent been abandoned since ring spectra and the techniques around them has become much more mainstream while these notes has matured. Some traces can still be seen in that chapter I does not depend at all on ring spectra, leading to the proof that stable K-theory o ...
... spectra. This idea has to a great extent been abandoned since ring spectra and the techniques around them has become much more mainstream while these notes has matured. Some traces can still be seen in that chapter I does not depend at all on ring spectra, leading to the proof that stable K-theory o ...
CLOSED GRAPH THEOREMS FOR LOCALLY CONVEX
... X i 6 i i G i direct the sum respectively of the X^ under the product and direct sum topoloaies. ...
... X i 6 i i G i direct the sum respectively of the X^ under the product and direct sum topoloaies. ...
Topologies making a given ideal nowhere dense or meager
... Let X be a set and let Y be an ideal on X. In this paper we show how to find a topology T on X such that r-nowhere dense (or r-meager) sets are exactly the sets in 2. We try to find the “best” possible topology with such property. In Section 1 we discuss the ideals ($1) and 9(X). We also show that f ...
... Let X be a set and let Y be an ideal on X. In this paper we show how to find a topology T on X such that r-nowhere dense (or r-meager) sets are exactly the sets in 2. We try to find the “best” possible topology with such property. In Section 1 we discuss the ideals ($1) and 9(X). We also show that f ...
PhD and MPhil Thesis Classes
... a costack, it is in essence only saying that F satisfies (a slightly reformulated version) of the Seifert-van Kampen theorem. Hence Theorems 5.1.4 and 8.0.9 can be reinterpreted as saying that the Seifert-van Kampen theorem is in fact the defining property of the fundamental groupoid. We give separa ...
... a costack, it is in essence only saying that F satisfies (a slightly reformulated version) of the Seifert-van Kampen theorem. Hence Theorems 5.1.4 and 8.0.9 can be reinterpreted as saying that the Seifert-van Kampen theorem is in fact the defining property of the fundamental groupoid. We give separa ...
pdf
... is injective in general. (When n = 1 this is an easy consequence of Proposition 2.4 and Lemma 3.1.) The proof of Theorem 1.2 is based on studying the relation between the positive cone and the fibers of the projection π : G → Conj , where Conj is the space of conjugacy classes of elements in G with ...
... is injective in general. (When n = 1 this is an easy consequence of Proposition 2.4 and Lemma 3.1.) The proof of Theorem 1.2 is based on studying the relation between the positive cone and the fibers of the projection π : G → Conj , where Conj is the space of conjugacy classes of elements in G with ...
