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Semi-locally simply connected - Wikipedia, the free encyclopedia
In mathematics, specifically algebraic topology, the phrase semi-locally simply connected refers to a certain local connectedness condition that arises in ...
en.wikipedia.org/wiki/Semi-locally_simply_connecte...
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Locally simply connected space - Wikipedia, the free encyclopedia
A strictly weaker condition is that of being semi-locally simply connected. Both locally simply connected spaces and simply connected spaces are ...
en.wikipedia.org/wiki/Locally_simply_connected_spa...
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Semilocally Simply Connected -- from Wolfram MathWorld
is semilocally simply connected (also called semilocally 1-connected) if every point x in X has a neighborhood U such that any loop L:[0,1]->U ...
mathworld.wolfram.com/SemilocallySimplyConnected.h...
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Covering Spaces Done Right
If Bis semi-locally simply connected, there exists a unique (up to base-point-preserving isomorphism) "universal covering space Uof B" (aconnectedand simply connected covering U).
www.math.toronto.edu/~drorbn/classes/0102/AlgTop/C...
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PlanetMath: semilocally simply connected
A topological space $X$ is semilocally simply connected if, for every point $x \ in X$ there exists a neighborhood $U$ of $x$ such that the map of ...
planetmath.org/encyclopedia/SemilocallySimplyConne...
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Metric spaces with discrete topological fundamental group - Elsevier
Keywords: Topological fundamental group; Semilocally simply connected ... A space X is semilocally simply connected at p if there exists an open set U such ...
linkinghub.elsevier.com/retrieve/pii/S016686410600...
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PlanetMath: simply connected
See Also: semilocally simply connected
planetmath.org/encyclopedia/SimplyConnected.html
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Existence of a Universal Cover
Remark: The hypothesis that X be semi-locally simply connected is necessary. Indeed ... Given x X, choose a semi-locally simply connected open neighborhood U of x. This ...
darkwing.uoregon.edu/~koch/math432/Universal_Cover...
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COVERING SPACES DONE RIGHT Let 1 B be a topological space and let ...
For B connected, locally connected, and semi-locally simply connected ... If B is semi-locally simply connected, there exists a unique (up to ...
www.ms.uky.edu/~jroberts/notes/coveringspaceright....
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Universal Path Spaces
simply connected open neighborhoodnecessary and su cient for the existence of ... cally path connected, semi-locally simply connected space Z; but here we make no such ...
people.oregonstate.edu/~bogleyw/research/ups.pdf
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Simply Connected -- from Wolfram MathWorld
SEE ALSO: Connected Set, Connected Space, Multiply Connected, Path-Connected, Semilocally Simply Connected
mathworld.wolfram.com/SimplyConnected.html
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Topological property: Definition from Answers.com
Semi-locally simply connected. A space X is semi-locally simply connected if every point has a local base of neighborhoods U such that every loop in U is ...
www.answers.com/topic/topological-property
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Assignment 7; Due Friday, March 3
22.3b M is semi-locally simply connected because every point p has a neighborhood home ... is simply connected, our general lifting theorem guarantees a lift ...
www.uoregon.edu/~koch/math432/Solution_7.pdf
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Yale Math Skit
Stooge: Question, Sir. Doesn't the space have to be semi-locally simply connected? ... Mostow: Today, class, I'm going to assume that you know upper semi-continuous Borel right quasi-reg...
www.math.binghamton.edu/alex/Yale_Math_Skit.html
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Home Page of Katsuya Eda
The Hawaiian earring is the plane compactum consisting of infinitely many circles. ... of everywhere non-semi-locally simply connected one dimensional Peano ...
www.logic.info.waseda.ac.jp/~eda/index.html
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A CHARACTERIZATION OF A SEMI-LOCALLY-CONNECTED PLANE CONTINUÜM F ...
cyclic semi-locally-connected continuum is simple. But since such a continuum need not be a continuous curve, the collection of its com- ...
www.projecteuclid.org/DPubS/Repository/1.0/Dissemi...
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fundamental groupoid in nLab
When X is not semi-locally simply connected, the arrows of the fundamental groupoid inherits the quotient topology? from the path space such that the fibres of (s, t): Mor (Î 1 (X)) â X ...
ncatlab.org/nlab/show/fundamental+groupoid
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An in nite commutator-product is not automatically trivial in ...
However, there are not semi-locally simply connected spaces, and the small loops ... (A space X is called semi-locally simply connected if every point x X has a ...
www.mathematik.uni-dortmund.de/lsvi/bogopolski/Pap...
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Fundamental 2-Groups and 2-Covering Spaces | The n-Category Café
If the base space is path-connected and pointed, ... As a disclaimer, Iâm going to sweep all finicky considerations like âsemi-locally simply connectedâ, and its generalisations, un...
golem.ph.utexas.edu/category/2008/06/fundamental_2...
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