Recent content by matness

  1. M

    How Do Covariant and Contravariant Vectors Differ in Tensor Calculus?

    Can you explain this sentence a bit?
  2. M

    The Exterior Covariant Derivative: Understanding Connections and Fibre Bundles

    Because the definition of connection in my mind is : "a bilinear connection satisfying certain properties." I don't know what horizantal/ vertical component mean exactly. what do "D" to a p-form for example? I need a definition or explanation using indices at first, because i am trying to...
  3. M

    The Exterior Covariant Derivative: Understanding Connections and Fibre Bundles

    Can you give me the definition of exterior covariant derivative or any reference web page ? Wiki does not involve enough info.I am not able to do calculation with respect to given definition there. Thanks in advance
  4. M

    Proof of union of subgroups as a subgroup

    The first one is fine For the second just use definition of ^2 (a*b)^2= (a*b)*(a*b) and definition of abelian groups i.e cahnging places of elements does not effeect anything
  5. M

    I was searching for the definition of localization of a ring .

    I was searching for the definition of localization of a ring . I came across the definition given at http://mathworld.wolfram.com/Localization.html If i take S as an ideal, the requirement 1€S make S=R. I am confused here how can i define localization of a ring at an ideal.
  6. M

    Dimension of a topological space

    Although I can not see directly( or indirectly) , they should be equivalent to be consistent in topology, arent they?
  7. M

    Dimension of a topological space

    A 'nonempty' subset of a topological space is irreducible if it can not be written as union of its two proper closed subsets. Because of the word 'nonempty' the argument in my first post is useless. And while writing second post i took definition of reducible as not being irreducible
  8. M

    Where Can I Find a Quick Start Guide for Learning Category Theory?

    Because in algebraic geometry lots of things are explained in terms of categories and functors.Not want deeply learning this stuff but understanding when it is used in definitions thm s etc.
  9. M

    Where Can I Find a Quick Start Guide for Learning Category Theory?

    I am only familiar to undergrad abstract algebra and want to learn category theory. which book or website do you suggest for a quick start? thanks in advance
  10. M

    Dimension of a topological space

    yes.that is the answer.i was careless as always. another question then: can we say empty set is reducible then. since it is not irreducible Or do we exclude this set from the discussion of reducibility/irreducibility? (my guess is second choice is less problematic)
  11. M

    Dimension of a topological space

    In Hartshorne's book definiton of a dimension is given as follows: İf X is a t.s. , dim(X) is the supremum of the integers n s.t. there exist a chain Z_0 \subsetneq Z_1...\subsetneq Z_n of distinct irreducible closed subsets of X My question is: Can we conclude directly that any...
  12. M

    Special relativity and flash bulbs

    So i have to think two inertial frames: one of observer's and the other one synchronized stars'. And therefore only the bulbs which are at the same distance to the observer will flash simultaneously.and the further ones will flash later Is it correct?
  13. M

    Special relativity and flash bulbs

    ok. But what changes then relative to the observer? The observer should see everything same. If it was so ,then i think rindler would not use this as a problem.there must be some poinnt that i missed
  14. M

    Special relativity and flash bulbs

    Homework Statement this is a problem from rindler Suppose there are flush bulbs fixed at all lattice points of some inertial frame and suppose they all flash at once .what actually seen by an observer sitting at the origin? Homework Equations The Attempt at a Solution i don'...
  15. M

    What is the Connection Between Fibre Bundles and Their Components?

    thank you again for the book now everything is clear
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