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accepted computing Lefschetz number
2d
comment computing Lefschetz number
This is much more than what i have asked... I have got some idea but i am not used to some of the ideas that you have informed... But it is really motivating how this is related to fundamental theorem of algebra.... Thanks.. I think this answers my question
Apr
24
comment computing Lefschetz number
Oh no... I got it... I don't know how i missed that simple point... @John
Apr
24
comment computing Lefschetz number
@John : How is that $1$.. How do i even proceed for that.. Can you give some hint....
Apr
24
comment computing Lefschetz number
what about some simple maps such as nullhomotopic maps? Is there any way @John
Apr
24
asked computing Lefschetz number
Apr
24
accepted simply connected covering of a path connected space (II)
Apr
24
comment simply connected covering of a path connected space (II)
Got it... Thank you :)
Apr
23
comment simply connected covering of a path connected space (II)
I thank you for your reply but I am afraid I am not fully ready to read a paper at this time as I am just learning the subject... I will definitely come to this once I am ready.. Thank you
Apr
23
comment simply connected covering of a path connected space (II)
Oh.. Ok ok.. So we actually have a loop but then...what next.. As that lift is a loop it has to be nullhomotopic.. Then compose with p again and say that this is nullhomotopic in A...
Apr
23
comment simply connected covering of a path connected space (II)
Let $\omega$ be a loop in $A$ null as a loop in $X$... We have $H:I\times I \rightarrow X$ such that $H(t,0)=\omega(t)$ and $H(t,1)=\omega(0)$. We then have a lift $\tilde H : I\times I \rightarrow \tilde X$ such that $p\circ \tilde H= H$... The lift $\tilde\omega$ may not be a loop in $\tilde X$.. we get a path in $p^{-1}(A)$.. As $a=\tilde\omega(0)$ may not be same as $b=\tilde\omega(1)$ we can get a path $\tau$ from $a$ to $b$ then $\tau*\tau^{-1}$ is a loop in $p^{-1}(A)$ and as $p^{-1}(A)$ is simply connected we have $\tau*\tau^{-1}\approx c$..I do not know how to proceed next
Apr
23
comment simply connected covering of a path connected space (II)
I am sorry, I mean to say it is simply connected...
Apr
23
revised simply connected covering of a path connected space (II)
added 2 characters in body
Apr
23
comment Why every algebra on finite set is a topology
how good is to change the question when some one already answered it...
Apr
23
asked simply connected covering of a path connected space (II)
Apr
21
reviewed Approve Finding the Laurent series given the poles and residues
Apr
21
comment $f(x) =\ln(2x^2 + 1)$ is continuous on $\mathbb{R}$
Did you get the answer??
Apr
21
comment Boundedness Theorem for continuous functions on intervals
Is $f(x)=\frac{1}{x}$ continuous on $(0,1)$.. Is it bounded??
Apr
20
comment Section of a covering projection from a connected space
@NajibIdrissi : Thanks
Apr
20
comment Im(AB) $\subset$ Im A
you are welcome