Recent content by heras1985

Yeah, I'm sure that there are hundreds of such rules, but it is difficult to find these rules explicitely.

I am looking for results which provides the homology and homotopy groups from some property of the space. For instance, if a space X is contractible then H_0(X)=\mathbb{Z} and H_n(X)=0 if n\neq 0. Another example is the Eilenberg MacLane spaces K(\pi,n) where \pi_n(K(\pi,n))=\pi and...

I need the demostration of the Taimanov's extension theorem: This theorem said: Let A be dense in the T_1-space X. Then in order that a continuos function f from X into a compact space Y have a continuous extension f^*:X\rightarrow Y if and only if that for each two disjoint closed sets F_1...

Definition of simple: L is called simple if it has no ideals except {0} and L. I is an ideal of L if x\in L, y\in I \Rightarrow [x,y]\in I The matrices whose trace is 0 form the special linear lie algebra sl_n(\mathbb{C}). The special linear lie algebra is the lie algebra of the special...

Hi, Show that the Special linear Lie algebra is simple. I tried it with induction but without result.