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Dynamics of non-archimedean Polish groups - Mathematics
Dynamics of non-archimedean Polish groups - Mathematics

groups and categories
groups and categories

EXISTENCE OF PERFECT EQUILIBRIA: A DIRECT PROOF击 1
EXISTENCE OF PERFECT EQUILIBRIA: A DIRECT PROOF击 1

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Free full version - topo.auburn.edu

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... the definition above are not required to be continuous, as is the case e.g. in [10, 13]. This design choice can be motivated as follows. First, there exists at least a topology on G1 w.r.t. which the local bisections of Definition 3.1 are always continuous, and it is defined as follows: Let R ⊆ G0 × ...
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RICH FAMILIES, W-SPACES AND THE PRODUCT OF BAIRE

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Dynamical systems: Multiply recurrent points

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Topology Proceedings 7 (1982) pp. 279

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HW 4

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The Topological Version of Fodor`s Theorem

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Course 421: Algebraic Topology Section 1

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Recent Developments in the Topology of Ordered Spaces

properties transfer between topologies on function spaces
properties transfer between topologies on function spaces

strongly connected spaces - National University of Singapore
strongly connected spaces - National University of Singapore

upper and lower na-continuous multifunctions
upper and lower na-continuous multifunctions

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Equivariant rigidity of Menger compacta and the Hilbert

... [16]. There is also a proof for Hölder actions given by Maleshich [15]. Recently, Pardon showed that Conjecture 2 is true for three-manifolds [24]. In the survey [7] Dranishnikov gives an account of various partial results and reduces a weaker version of the conjecture to two other problems. In its ...
covariant and contravariant approaches to topology
covariant and contravariant approaches to topology

Some new algebras of functions on topological groups arising from
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Equivariant K-theory

SINGULARITIES ON COMPLETE ALGEBRAIC VARIETIES 1
SINGULARITIES ON COMPLETE ALGEBRAIC VARIETIES 1

... Remark 2.2. The proof of lemma 2.1 also works for a pair (X, D), where X is an arbitrary affine variety of dimension n and D is a divisor of X. In this case, the result would be that there is a finite map f : X → Cn such that the ramification divisor of f and f (D) are a set sections of a projection ...
- Journal of Linear and Topological Algebra
- Journal of Linear and Topological Algebra

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Fundamental group

In the mathematics of algebraic topology, the fundamental group is a mathematical group associated to any given pointed topological space that provides a way to determine when two paths, starting and ending at a fixed base point, can be continuously deformed into each other. It records information about the basic shape, or holes, of the topological space. The fundamental group is the first and simplest homotopy group. The fundamental group is a topological invariant: homeomorphic topological spaces have the same fundamental group.Fundamental groups can be studied using the theory of covering spaces, since a fundamental group coincides with the group of deck transformations of the associated universal covering space. The abelianization of the fundamental group can be identified with the first homology group of the space. When the topological space is homeomorphic to a simplicial complex, its fundamental group can be described explicitly in terms of generators and relations.Henri Poincaré defined the fundamental group in 1895 in his paper ""Analysis situs"". The concept emerged in the theory of Riemann surfaces, in the work of Bernhard Riemann, Poincaré, and Felix Klein. It describes the monodromy properties of complex-valued functions, as well as providing a complete topological classification of closed surfaces.
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