I think it's more of a problem of people just making irrational assumptions. Antiperspirants are put under your arm! Your arm is next to your breast! IT'S A CHEMICAL - PANIC! People these days..

Women resist doing things like wearing a bra or antipersirants, coloring their hair or doing hormone replacement therapy when they reach menopause for a bizarre assortment or reasons. Things like, "God did not intend for women to [fill in the blank]", "'[fill in the blank] is just the male patriarchy's way of forcing women to conform or make themselves more appealing to men",  "[fill in the blank] is unhealthy and/or unnatural" or "You're vain or superficial if you [fill in the blank]"  I'm never really sure if they honestly believe those things and I can understand that someone doesn't want to spend the time or money to color their hair but not wearing a bra is UNCOMFORTABLE AND MAKES ME SELF-CONSCIOUS. I don't care who invented them or why or if they cause breast cancer, there's no way I'm not wearing a bra. NO. WAY.  

Well, from a sociological and women's studies point of view, fighting against the need to wear a bra and preventing violence against females could be explained in the same essay.

Because women are subjected to so many cultural (as in Western) norms that they MUST do certain things or else be seen as unsexy/unfeminine/un-something, then it's very easy to scare us by creating all this hype about how some product can make you sexier or whatnot. Wearing a bra is an example of this. Women's studies and gender sociologists say that this is actually detrimental to women because they are subjected to so many cultural expectations that, when not met, brings down self-esteem, self-worth, etc. These same products also work to degrade women because many of the products out there claim to enhance sex appeal via good skin, bigger cleavage, flatter tummies, and whatnot. Women become objects that need to be "fixed up" much like other material things like a house or a car. It is then easier to see women as commodities that can be treated unfairly and abused with no real consequence to the abuser if you think of them as dispensable objects. This leads to violence against women because they are not real people the same way that men are.

Is it a stretch to say that moisturizer degrades women? A bit. But if you think about it, every little thing helps add up to the genderization of our society that consistently devalues women.

I definitely can see how little things like that could be seen as a waste of time, and in some aspects I agree. However, I also think that it's important to educate the public that little things CAN add up. It's like saying that one sexist joke can't possibly harm anyone. Truthfully, it's just words that a lot of people view as harmless. However, consider the impact of someone standing up to a sexist joke. You're telling someone that it's not okay to view women as second class citizens. This also includes speaking up against sexist and gendered advertisements for things that could involve beauty products. Once society takes a stand against sexism, it will definitely help equal pay and processing rape kits faster.

Do I think that equal pay and prompt and fair prosecution against domestic abuse cases are more important than lipgloss? Of course!! I also think that proper education at a young age can also help perpetuate a healthy outlook on women. In my opinion, legislation to force equality sometimes takes a long time and may not be something that everyone is willing to actively participate in. But, we can always let someone know that sexist attitudes are not acceptable and help educate the general public that will one day become the normal outlook on life.

I wear a bra because I like them. Also because I'm a DDD cup. I also wear granny panties because I'm fat an anything else is uncomfortable to me. I were antipersperant because I don't like to stink. I wear makeup because I like it.
I have three older brothers. No man forces me to do anything cause I will tell them to bite me.
I hate it when women tell me that I do things because men make me. They never consider that I do it because I want to. And stupidly think I'm brainwashed when they don't realize they often sound very ignorant and brainwashed themselves.
And I still do not believe bras or antipersperants cause breast cancer.
Edit: Oh here's one that the BBB reminded me of. I shave my armpits because I feel and smell cleaner. I do it for myself, not for men.
In fact, I remember one of my mom's friends had a son on the swim team. He had to shave his entire body for it. Including the pits. He was a pretty stinky guy. He found he used 50% less antipersperant when his armpits were shaved. He didn't stink as much. Even if he hadn't been in the pool all day. So really, I firmly believe for hygeine's sake, everyone, female and male, should shave their pits.
But like I said, I shave them for me. Not for anyone else.
I'm very much not a modern day feminist, however. I like to have men open the door for me, be the first to make the move, etc. Yes, women deserve equal pay for equal work and to be treated with respect. The statue of limitations on rape should be stricten from the lawbooks and rape should be treated just like murder. If you can prove 80 years down the road that this is the guy who raped this girl when she was 5, then he should be punished for it same as if he had murdered her. I just don't think that men opening a door for me is disrespectful. (And sadly, I've known guys my own age and younger who are so afraid of being yelled at by the uber-feminists, they won't even open the door for a woman with her hands full! They've admited as much to me.)
*deep breath, sigh* But this is about antipersperants and if they really cause breast cancer. To me it's as dumb as people killing pigs cause they think they cause the swine flu.

I am a feminist but I am not offended by a guy opening the door for me, and I don't hate men. I dislike the marketing of the cosmetic industry but I like make-up and I shave for myself, I groom myself because it feels very nice. I think there are a lot of stereotypes about feminists but I don't find them to be true for the majority. I wouldn't want to set myself up for harassment by not wearing a bra plus its nice to not have them flapping around everywhere and to have more protection for my chest area especially for running. Until I see the concrete evidence by peer reviewed studies I am not going to think that this product causes such a devastating disease. I think that is insulting and trivializing to breast cancer sufferers and survivors. I think people want to put the blame on a simple thing the antiperspirants because they need to simplify a complex issue to understand it.